Solve A=x(x-5)+3(x-5)

$$A = x ( x - 5 ) + 3 ( x - 5 )$$

Solve for A

$$A=\left(x-5\right)\left(x+3\right)$$

Solution Steps

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

$$A=x^{2}-5x+3\left(x-5\right)$$

Use the distributive property to multiply 3 by x-5.

$$A=x^{2}-5x+3x-15$$

Combine -5x and 3x to get -2x.

$$A=x^{2}-2x-15$$

Solve for x (complex solution)

$$x=-\sqrt{A+16}+1$$

$$x=\sqrt{A+16}+1$$

Solve for x

$$x=-\sqrt{A+16}+1$$

$$x=\sqrt{A+16}+1\text{, }A\geq -16$$