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Most Popular Algebra Questions & Answers - Problems, Homework Solutions

Solve for x x/12=3/4

Multiply both sides of the equation by $12$ .

$12 \frac{x}{12} = 12 (\frac{3}{4})$

Simplify both sides of the …

Solve for x (x+9)/3=8

Multiply both sides of the equation by $3$ .

$3 \frac{x + 9}{3} = 3 \cdot 8$

Simplify both sides of the …

Evaluate natural log of 2.6

The result can be shown in multiple forms.

$\ln (2.6)$

$0.95551144 \dots$

Determine if True 5.72> square root of 5

The left side $5.72$ is greater than the right side $2.23606797$ , which means that the given statement is always true.

Solve for x x^2-2x=35

Subtract $35$ from both sides of the equation.

$x^{2} - 2 x - 35 = 0$

Factor $x^{2} - 2 …$

Solve for x x^2-3x=40

Subtract $40$ from both sides of the equation.

$x^{2} - 3 x - 40 = 0$

Factor $x^{2} - 3 …$

Solve for x x^4-7x^2+6=0

Substitute $u = x^{2}$ into the equation. This will make the quadratic formula easy to use.

$u^{2} - 7 u + 6 = 0 …$

Solve for m square root of m-7=n+3

To remove the radical on the left side of the equation, square both sides of the equation.

${\sqrt{m - 7}}^{2} = (n + \dots$

Solve for x x^2-15=0

Add $15$ to both sides of the equation.

$x^{2} = 15$

Take the specified root of both sides of the equation …

Determine if True 5<4

The left side $5$ is not less than the right side $4$ , which means that the given statement is false.

Simplify square root of 100x^3

Rewrite $100 x^{3}$ as ${(10 x)}^{2} x$ .

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Rewrite $100$ as $10^{2}$ .

$\sqrt{10^{2} x^{3}}$

Solve for x (x+2)/(3x+8)=2/5

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first …

Solve for x x^2-5x=24

Subtract $24$ from both sides of the equation.

$x^{2} - 5 x - 24 = 0$

Factor $x^{2} - 5 …$

Simplify ((2x^2)^3(3y^4)^3)/(9x^4y^7)-18x^2y^5

Simplify each term.

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Simplify the numerator.

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Apply the product rule to $2 x^{2}$ .

$2^{3} (x …$

Solve for x 4^x=18

Take the natural logarithm of both sides of the equation to remove the variable from the exponent.

$\ln (4^{x}) = \ln (18 …$

Determine if True -6.9<-1.2

The left side $- 6.9$ is less than the right side $- 1.2$ , which means that the given statement is always true.

Solve for x 4^(x+35)=64^(x-3)

Create equivalent expressions in the equation that all have equal bases.

$4^{x + 35} = 4^{3 (x - 3)}$

Solve for x 4^(5-3x)=1/256

Raise $256$ to the power of $1$ .

$4^{5 - 3 x} = \frac{1}{256^{1}}$

Move $256^{1}$ to the numerator …

Solve for x 4/6x-3x+8/3=4/3

Simplify $\frac{4}{6} x - 3 x + \frac{8}{3}$ .

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Simplify each term.

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Cancel the common factor …

Solve for x 4/6x-4x+8/3=4/3

Simplify $\frac{4}{6} x - 4 x + \frac{8}{3}$ .

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Simplify each term.

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Cancel the common factor …