Question 619445
{{{424 = x^2 + 36x}}}


{{{0 = x^2 + 36x - 424}}}


{{{x^2 + 36x - 424 = 0}}}


Now use the quadratic equation to solve for x.


{{{x = (-b+-sqrt(b^2-4ac))/(2a)}}}


{{{x = (-(36)+-sqrt((36)^2-4(1)(-424)))/(2(1))}}}


{{{x = (-36+-sqrt(1296-(-1696)))/(2)}}}


{{{x = (-36+-sqrt(2992))/2}}}


{{{x = (-36+sqrt(2992))/2}}} or {{{x = (-36-sqrt(2992))/2}}}


{{{x = (-36+4*sqrt(187))/2}}} or {{{x = (-36-4*sqrt(187))/2}}}


{{{x = -18+2*sqrt(187)}}} or {{{x = -18-2*sqrt(187)}}}


So the solutions are {{{x = -18+2*sqrt(187)}}} or {{{x = -18-2*sqrt(187)}}}