3(X-2)(X-2)=12

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Solution for 3(X-2)(X-2)=12 equation: 


Simplifying
3(X + -2)(X + -2) = 12

Reorder the terms:
3(-2 + X)(X + -2) = 12

Reorder the terms:
3(-2 + X)(-2 + X) = 12

Multiply (-2 + X) * (-2 + X)
3(-2(-2 + X) + X(-2 + X)) = 12
3((-2 * -2 + X * -2) + X(-2 + X)) = 12
3((4 + -2X) + X(-2 + X)) = 12
3(4 + -2X + (-2 * X + X * X)) = 12
3(4 + -2X + (-2X + X2)) = 12

Combine like terms: -2X + -2X = -4X
3(4 + -4X + X2) = 12
(4 * 3 + -4X * 3 + X2 * 3) = 12
(12 + -12X + 3X2) = 12

Add '-12' to each side of the equation.
12 + -12X + -12 + 3X2 = 12 + -12

Reorder the terms:
12 + -12 + -12X + 3X2 = 12 + -12

Combine like terms: 12 + -12 = 0
0 + -12X + 3X2 = 12 + -12
-12X + 3X2 = 12 + -12

Combine like terms: 12 + -12 = 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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