Question 520457
{{{ -2x = -2x^2 +24 }}}
add 2x^2 to both sides
{{{ 2x^2 -2x = 24 }}}
subtract 24 from both sides
{{{ 2x^2 -2x -24 = 0 }}}
divide by 2
{{{ x^2 -x -12 = 0 }}}
factor
{{{ (x+3)(x-4) = 0 }}}
check factoring with FOIL
{{{ x^2 -4x +3x -12 = x^2 -x -12 }}}
so
x = -3 or 4
.
Graph of x^2-x-12
.
{{{ graph(500,500,-5,5,-15,15,x^2-x-12) }}}