Solve Using the Square Root Property 3x^2-13x=-12

Math
3×2-13x=-12
Move 12 to the left side of the equation by adding it to both sides.
3×2-13x+12=0
Factor by grouping.
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For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=3⋅12=36 and whose sum is b=-13.
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Factor -13 out of -13x.
3×2-13x+12=0
Rewrite -13 as -4 plus -9
3×2+(-4-9)x+12=0
Apply the distributive property.
3×2-4x-9x+12=0
3×2-4x-9x+12=0
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(3×2-4x)-9x+12=0
Factor out the greatest common factor (GCF) from each group.
x(3x-4)-3(3x-4)=0
x(3x-4)-3(3x-4)=0
Factor the polynomial by factoring out the greatest common factor, 3x-4.
(3x-4)(x-3)=0
(3x-4)(x-3)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
3x-4=0
x-3=0
Set the first factor equal to 0 and solve.
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Set the first factor equal to 0.
3x-4=0
Add 4 to both sides of the equation.
3x=4
Divide each term by 3 and simplify.
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Divide each term in 3x=4 by 3.
3×3=43
Cancel the common factor of 3.
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Cancel the common factor.
3×3=43
Divide x by 1.
x=43
x=43
x=43
x=43
Set the next factor equal to 0 and solve.
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Set the next factor equal to 0.
x-3=0
Add 3 to both sides of the equation.
x=3
x=3
The final solution is all the values that make (3x-4)(x-3)=0 true.
x=43,3
Solve Using the Square Root Property 3x^2-13x=-12

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