Solve B=5(x-1)-7x(2+3x)

$$B = 5 ( x - 1 ) - 7 x ( 2 + 3 x )$$

Solve for B

$$B=-21x^{2}-9x-5$$

Solution Steps

Use the distributive property to multiply 5 by x-1.

$$B=5x-5-7x\left(2+3x\right)$$

Use the distributive property to multiply -7x by 2+3x.

$$B=5x-5-14x-21x^{2}$$

Combine 5x and -14x to get -9x.

$$B=-9x-5-21x^{2}$$

Solve for x (complex solution)

$$x=\frac{\sqrt{-84B-339}}{42}-\frac{3}{14}$$

$$x=-\frac{\sqrt{-84B-339}}{42}-\frac{3}{14}$$

Solve for x

$$x=\frac{\sqrt{-84B-339}}{42}-\frac{3}{14}$$

$$x=-\frac{\sqrt{-84B-339}}{42}-\frac{3}{14}\text{, }B\leq -\frac{113}{28}$$