Solve A=(-4x+4)(6x-9)+(-4x+4)

$$A = ( - 4 x + 4 ) ( 6 x - 9 ) + ( - 4 x + 4 )$$

Solve for A

$$A=-8\left(x-1\right)\left(3x-4\right)$$

Solution Steps

Use the distributive property to multiply -4x+4 by 6x-9 and combine like terms.

$$A=-24x^{2}+60x-36-4x+4$$

Combine 60x and -4x to get 56x.

$$A=-24x^{2}+56x-36+4$$

Add -36 and 4 to get -32.

$$A=-24x^{2}+56x-32$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{4-6A}}{12}+\frac{7}{6}$$

$$x=\frac{\sqrt{4-6A}}{12}+\frac{7}{6}$$

Solve for x

$$x=-\frac{\sqrt{4-6A}}{12}+\frac{7}{6}$$

$$x=\frac{\sqrt{4-6A}}{12}+\frac{7}{6}\text{, }A\leq \frac{2}{3}$$