Question 137956
Sorry to hear about your temporary loss of brain function.
It has been said "The brain is a marvelous organ.  It starts working the minute you wake up and doesn't stop 'til you get to class"
Solve for x:
{{{10x^2-17x = 63}}} Subtract 63 from both sides.
{{{10x^2-17x-63 = 0}}} Factor this quadratic equation.
{{{(2x-7)(5x+9) = 0}}} Apply the zero product rule: If {{{a*b = 0}}} then either {{{a = 0}}} or {{{b = 0}}} or both.
{{{2x-7 = 0}}} or {{{5x+9 = 0}}}
If {{{2x-7 = 0}}} then {{{x = 7/2}}}
If {{{5x+9 = 0}}} then {{{x = -9/5}}}
Good luck on your recovery!