```Question 59583
{{{3x^2-7x=0}}} Factor out the GCF
x(3x-7)=0 Set each part = to 0 and solve for x
x=0 and 3x-7=0
x=0 and 3x-7+7=0+7
x=0 and 3x=7
x=0 and 3x/3=7/3
x=0 and x=7/3
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{{{3x^2+33=2x^2+14x}}}  Set the problem = to 0
{{{-2x^2+3x^2+33=-2x^2+2x^2+14x}}}
{{{x^2+33=14x}}}
{{{x^2-14x+33=14x-14x}}}
{{{x^2-14x+33=0}}}  Factor
(x-11)(x-3)=0  Set each parentheses = 0 and solve for x.
x-11=0 and x-3=0
x-11+11=0+11 and x-3+3=0+3
x=11 and x=3
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{{{(x-3)^2=9}}}  use the square root property, take the square root of both sides.
{{{sqrt((x-3)^2)=+-sqrt(9)}}}
x-3=+\-3
x-3+3=3+\-3
x=3-3 and x=3+3
x=0 and x=6
:
{{{(3x-6)^2=4x^2}}}  Square the left
{{{(3x-6)(3x-6)=4x^2}}}
{{{3x(3x-6)-6(3x-6)=4x^2}}}
{{{9x^2-18x-18x+36=4x^2}}}
{{{9x^2-36x+36=4x^2}}}  Set = to 0
{{{9x^2-4x^2-36x+36=4x^2-4x^2}}}
{{{5x^2-36x+36=0}}}  Factor, I'm using the ac, arch, or grouping method.
{{{5x^2-30x-6x+36=0}}}
{{{5x(x-6)-6(x-6)=0}}}
{{{(x-6)(5x-6)=0}}}  set each parentheses = to 0 and solve for x.
x-6=0 and 5x-6=0
x-6+6=0+6 and 5x-6+6=0+6
x=6 and 5x=6
x=6 and 5x/5=6/5
x=6 and x=6/5
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Happy Calculating!!!```