Question 72650
Solve for x:
{{{x(2x+7) = -5}}} Apply the distributive property on the left side.
{{{2x^2+7x = -5}}} Add 5 to both sides.
{{{2x^2+7x+5 = 0}}} Factor.
{{{2x+5)(x+1) = 0}}} Appy the zero product principle.
{{{2x+5 = 0}}} and/or {{{x+1 = 0}}}
{{{2x+5 = 0}}} Subtract 5 from both sides.
{{{2x = -5}}} Divide both sides by 2.
{{{x = -5/2}}} This is one solution.
{{{x+1 = 0}}} Subtract 1 from both sides.
{{{x = -1}}} This is the other solution.