Question 958249
{{{12x^2-9x-15=0}}}
{{{4x^2-3x-5=0}}}
{{{4(x^2-(3/4)x)-5=0}}}
{{{4(x^2-(3/4)x-(3/8)^2)-5=4(3/8)^2}}}
{{{4(x-3/8)^2=4(9/64)+5}}}
{{{4(x-3/8)^2=89/16}}}
{{{(x-3/8)^2=89/64}}}
{{{x-3/8=0 +- sqrt(89)/8}}}
{{{x=3/8 +- sqrt(89)/8}}}

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{{{graph(300,300,-5,5,-5,5,12x^2-9x-15)}}}
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So then,
{{{12x^2-9x-15=12(x-(1/8)(3-sqrt(89)))(x-(1/8)(3+sqrt(89)))}}}