3x^2-12x+9=9

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Solution for 3x^2-12x+9=9 equation: 


Simplifying
3x2 + -12x + 9 = 9

Reorder the terms:
9 + -12x + 3x2 = 9

Add '-9' to each side of the equation.
9 + -12x + -9 + 3x2 = 9 + -9

Reorder the terms:
9 + -9 + -12x + 3x2 = 9 + -9

Combine like terms: 9 + -9 = 0
0 + -12x + 3x2 = 9 + -9
-12x + 3x2 = 9 + -9

Combine like terms: 9 + -9 = 0
-12x + 3x2 = 0

Solving
-12x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-4 + x) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + x = 0 + 4
x = 0 + 4

Combine like terms: 0 + 4 = 4
x = 4

Simplifying
x = 4
Solution
x = {0, 4}

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