Solve for x 3x^2+14x+4=4

$3 x^{2} + 14 x + 4 = 4$

Step 1

Subtract $4$ from both sides of the equation.

$3 x^{2} + 14 x + 4 - 4 = 0$

Step 2

Combine the opposite terms in $3 x^{2} + 14 x + 4 - 4$ .

Subtract $4$ from $4$ .

$3 x^{2} + 14 x + 0 = 0$

Add $3 x^{2} + 14 x$ and $0$ .

$3 x^{2} + 14 x = 0$

Step 3

Factor $x$ out of $3 x^{2} + 14 x$ .

Factor $x$ out of $3 x^{2}$ .

$x (3 x) + 14 x = 0$

Factor $x$ out of $14 x$ .

$x (3 x) + x \cdot 14 = 0$

Factor $x$ out of $x (3 x) + x \cdot 14$ .

$x (3 x + 14) = 0$

Step 4

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$x = 0$

$3 x + 14 = 0$

Step 5

Set $x$ equal to $0$ .

$x = 0$

Step 6

Set $3 x + 14$ equal to $0$ and solve for $x$ .

Set $3 x + 14$ equal to $0$ .

$3 x + 14 = 0$

Solve $3 x + 14 = 0$ for $x$ .

Subtract $14$ from both sides of the equation.

$3 x = - 14$

Divide each term in $3 x = - 14$ by $3$ and simplify.

Divide each term in $3 x = - 14$ by $3$ .

$\frac{3 x}{3} = \frac{- 14}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{- 14}{3}$

Divide $x$ by $1$ .

$x = \frac{- 14}{3}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{14}{3}$

Step 7

The final solution is all the values that make $x (3 x + 14) = 0$ true.

$x = 0, - \frac{14}{3}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$x = 0, - \frac{14}{3}$

Decimal Form:

$x = 0, - 4.\overline{6}$

Mixed Number Form:

$x = 0, - 4 \frac{2}{3}$

Solve for x 3x^2+14x+4=4

Related Questions

Support LCMGCF.com by disabling your adblocker.