Solve A=3(x^2-4)-2x^2+8x

$$A = 3 ( x ^ { 2 } - 4 ) - 2 x ^ { 2 } + 8 x$$

Solve for A

$$A=x^{2}+8x-12$$

Solution Steps

Use the distributive property to multiply 3 by x^{2}-4.

$$A=3x^{2}-12-2x^{2}+8x$$

Combine 3x^{2} and -2x^{2} to get x^{2}.

$$A=x^{2}-12+8x$$

Solve for x (complex solution)

$$x=-\sqrt{A+28}-4$$

$$x=\sqrt{A+28}-4$$

Solve for x

$$x=-\sqrt{A+28}-4$$

$$x=\sqrt{A+28}-4\text{, }A\geq -28$$