Solve W=(-x+60)(x-32)

$$W = ( - x + 60 ) ( x - 32 )$$

Solve for W

$$W=-\left(x-60\right)\left(x-32\right)$$

Solution Steps

Use the distributive property to multiply -x+60 by x-32.

$$W=\left(-x\right)x-32\left(-x\right)+60x-1920$$

Multiply -32 and -1 to get 32.

$$W=\left(-x\right)x+32x+60x-1920$$

Combine 32x and 60x to get 92x.

$$W=\left(-x\right)x+92x-1920$$

Multiply x and x to get x^{2}.

$$W=-x^{2}+92x-1920$$

Solve for x (complex solution)

$$x=\sqrt{196-W}+46$$

$$x=-\sqrt{196-W}+46$$

Solve for x

$$x=\sqrt{196-W}+46$$

$$x=-\sqrt{196-W}+46\text{, }W\leq 196$$