Question 385050
Solve for x:
{{{sqrt(x+7) = x-5}}} Square both sides.
{{{(sqrt(x+7))^2 = (x-5)^2}}} Simplify.
{{{x+7 = x^2-10+25}}}  Subtract x from both sides.
{{{7 = x^2-11x+25}}} Subtract 7 from both sides.
{{{x^2-11x+18 = 0}}} Factor.
{{{(x-2)(x-9) = 0}}} Apply the zero product rule.
{{{x-2 = 0}}} or {{{x-9 = 0}}} so...
{{{x = 2}}} or {{{x = 9}}}