Question

How do you solve x(x+h)=x-h for h?

Answer 1

Answer: H = $\frac{-x^{2}+x }{x+1}$

Step-by-step explanation:

Step 1: Add h to both sides.

hx+x²+h=−h+x+h

hx+x²+h=x

Step 2: Add -x^2 to both sides.

hx+x²+h+−x²=x+−x²

hx+h=−x²+x

Step 3: Factor out variable h.

h(x+1)=−x²+x

Step 4: Divide both sides by x+1