Solve B=-7x(2x+2)-(4x^2-10)

$$B = - 7 x ( 2 x + 2 ) - ( 4 x ^ { 2 } - 10 )$$

Solve for B

$$B=10-14x-18x^{2}$$

Solution Steps

Use the distributive property to multiply -7x by 2x+2.

$$B=-14x^{2}-14x-\left(4x^{2}-10\right)$$

To find the opposite of 4x^{2}-10, find the opposite of each term.

$$B=-14x^{2}-14x-4x^{2}+10$$

Combine -14x^{2} and -4x^{2} to get -18x^{2}.

$$B=-18x^{2}-14x+10$$

Solve for x (complex solution)

$$x=\frac{\sqrt{229-18B}-7}{18}$$

$$x=\frac{-\sqrt{229-18B}-7}{18}$$

Solve for x

$$x=\frac{\sqrt{229-18B}-7}{18}$$

$$x=\frac{-\sqrt{229-18B}-7}{18}\text{, }B\leq \frac{229}{18}$$