Question 367560
Multiply out the left hand side.
{{{(2x+3)(2x+5)(x-1)(x-2)=(4x^2+10x+6x+15)(x^2-2x-x+2)}}}
{{{(2x+3)(2x+5)(x-1)(x-2)=(4x^2+16x+15)(x^2-3x+2)}}}
{{{(2x+3)(2x+5)(x-1)(x-2)=4x^4+4x^3-25x^2-13x+30}}}
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{{{4x^4+4x^3-25x^2-13x+30=30}}}
{{{4x^4+4x^3-25x^2-13x=0}}}
{{{x(4x^3+4x^2-25x-13)=0}}}

{{{x(2x+1)(2x^2+x-13)=0}}}
Four real solutions:
{{{highlight(x=0)}}}
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{{{2x+1=0}}}
{{{2x=-1}}}
{{{highlight(x=-1/2)}}}
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{{{2x^2+x-13=0}}}
 {{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} 
 {{{x = (-1 +- sqrt( 1^2-4*2*(-13) ))/(2*2) }}} 
{{{highlight(x = (-1 +- sqrt( 105 ))/(4)) }}}