Solve for x 850=(54.5)(4.22)+1/2(x)(4.22)^2

$850 = (54.5) (4.22) + \frac{1}{2} (x) {(4.22)}^{2}$

Step 1

Rewrite the equation as $(54.5) (4.22) + \frac{1}{2} \cdot ((x) {(4.22)}^{2}) = 850$ .

$(54.5) (4.22) + \frac{1}{2} \cdot ((x) {(4.22)}^{2}) = 850$

Step 2

Simplify each term.

Multiply $54.5$ by $4.22$ .

$229.99 + \frac{1}{2} \cdot ((x) {(4.22)}^{2}) = 850$

Raise $4.22$ to the power of $2$ .

$229.99 + \frac{1}{2} \cdot (x \cdot 17.8084) = 850$

Move $17.8084$ to the left of $x$ .

$229.99 + \frac{1}{2} \cdot (17.8084 \cdot x) = 850$

Multiply $\frac{1}{2} (17.8084 x)$ .

Combine $17.8084$ and $\frac{1}{2}$ .

$229.99 + \frac{17.8084}{2} x = 850$

Combine $\frac{17.8084}{2}$ and $x$ .

$229.99 + \frac{17.8084 x}{2} = 850$

Factor $17.8084$ out of $17.8084 x$ .

$229.99 + \frac{17.8084 (x)}{2} = 850$

Factor $2$ out of $2$ .

$229.99 + \frac{17.8084 (x)}{2 (1)} = 850$

Separate fractions.

$229.99 + \frac{17.8084}{2} \cdot \frac{x}{1} = 850$

Divide $17.8084$ by $2$ .

$229.99 + 8.9042 \frac{x}{1} = 850$

Divide $x$ by $1$ .

$229.99 + 8.9042 x = 850$

Step 3

Move all terms not containing $x$ to the right side of the equation.

Subtract $229.99$ from both sides of the equation.

$8.9042 x = 850 - 229.99$

Subtract $229.99$ from $850$ .

$8.9042 x = 620.01$

Step 4

Divide each term in $8.9042 x = 620.01$ by $8.9042$ and simplify.

Divide each term in $8.9042 x = 620.01$ by $8.9042$ .

$\frac{8.9042 x}{8.9042} = \frac{620.01}{8.9042}$

Simplify the left side.

Cancel the common factor of $8.9042$ .

Cancel the common factor.

$\frac{8.9042 x}{8.9042} = \frac{620.01}{8.9042}$

Divide $x$ by $1$ .

$x = \frac{620.01}{8.9042}$

Simplify the right side.

Divide $620.01$ by $8.9042$ .

$x = 69.63118528$

Solve for x 850=(54.5)(4.22)+1/2(x)(4.22)^2

Related Questions

Support LCMGCF.com by disabling your adblocker.