Question 627563
{{{1/2(6+4x)-1/4(8x-12)=1/2(2x-4)}}}
{{{1/(2)(2)(3+2x)-1/(4)(4)(2x-3)=1/(2)(2)(x-2)}}}
{{{1/4(3+2x)-1/16(2x-3)=1/4(x-2)}}}
Multiply by 4 both sides

{{{4(1/4(3+2x))-4(1/16(2x-3))=4(1/4(x-2))}}}
{{{cross(4)(1/cross(4)(3+2x))-cross(4)(1/cross(16)(2x-3))=cross(4)(1/cross(4)(x-2))}}}
{{{1/(3+2x)-1/4(2x-3)=1/(x-2)}}}
Take LCD
{{{(4(2x-3)-(3+2x))/(4(3+2x)(2x-3))=1/(x-2)}}}
{{{(8x-12-3-2x)/(4(3+2x)(2x-3))=1/(x-2)}}}
{{{(6x-15)/(4(3+2x)(2x-3))=1/(x-2)}}}
{{{(6x-15)(x-2)=(1)(4)(3+2x)(2x-3)}}}
{{{6x^2-12x-15x+30=4(6x-9+4x^2-6x)}}}
{{{6x^2-27x+30=4(cross(6x)-9+4x^2-cross(6x))}}}
{{{6x^2-27x+30=4(-9+4x^2)}}}
{{{6x^2-27x+30=-36+16x^2}}}
{{{6x^2-27x+30+36-16x^2=0}}}
{{{6x^2-16x^2-27x+30+36=0}}}
{{{-10x^2-27x+66=0}}}
Multiply by -1
{{{10x^2+27x-66=0}}}
*[invoke quadratic "x", 10, 27, -66 ]