Solve B=left(6x-7right)left(3-2xright)

$$B = \left( 6x-7 \right) \left( 3-2x \right)$$

Solve for B

$$B=\left(7-6x\right)\left(2x-3\right)$$

Solution Steps

Use the distributive property to multiply 6x-7 by 3-2x and combine like terms.

$$B=32x-12x^{2}-21$$

Solve for x (complex solution)

$$x=\frac{\sqrt{1-3B}}{6}+\frac{4}{3}$$

$$x=-\frac{\sqrt{1-3B}}{6}+\frac{4}{3}$$

Solve for x

$$x=\frac{\sqrt{1-3B}}{6}+\frac{4}{3}$$

$$x=-\frac{\sqrt{1-3B}}{6}+\frac{4}{3}\text{, }B\leq \frac{1}{3}$$