Question 153134
Solve for v:
{{{v^2-v/2 = 5}}} First, multiply through by 2 to clear the fraction.
{{{2v^2-v = 10}}} Now subtract 10 from both sides.
{{{2v^2-v-10 = 0}}} Factor the trinomial.
{{{(2v-5)(v+2) = 0}}} Apply the zero product rule.
{{{2v-5 = 0}}} or {{{v+2 = 0}}}
If {{{2v-5 =0}}} then {{{2v = 5}}} and {{{v = 5/2}}}
If {{{v+2 = 0}}} then {{{v = -2}}}
Solutions:
{{{v = 5/2}}}
{{{v = -2}}}