x(4x-12)-7=-7

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Solution for x(4x-12)-7=-7 equation: 


Simplifying
x(4x + -12) + -7 = -7

Reorder the terms:
x(-12 + 4x) + -7 = -7
(-12 * x + 4x * x) + -7 = -7
(-12x + 4x2) + -7 = -7

Reorder the terms:
-7 + -12x + 4x2 = -7

Add '7' to each side of the equation.
-7 + -12x + 7 + 4x2 = -7 + 7

Reorder the terms:
-7 + 7 + -12x + 4x2 = -7 + 7

Combine like terms: -7 + 7 = 0
0 + -12x + 4x2 = -7 + 7
-12x + 4x2 = -7 + 7

Combine like terms: -7 + 7 = 0
-12x + 4x2 = 0

Solving
-12x + 4x2 = 0

Solving for variable 'x'.

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

Ignore the factor 4.

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 '(-3 + x)' equal to zero and attempt to solve:

Simplifying
-3 + x = 0

Solving
-3 + x = 0

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

Add '3' to each side of the equation.
-3 + 3 + x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + x = 0 + 3
x = 0 + 3

Combine like terms: 0 + 3 = 3
x = 3

Simplifying
x = 3
Solution
x = {0, 3}

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