x^2-12x+6=6

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Solution for x^2-12x+6=6 equation:


Simplifying
x2 + -12x + 6 = 6

Reorder the terms:
6 + -12x + x2 = 6

Add '-6' to each side of the equation.
6 + -12x + -6 + x2 = 6 + -6

Reorder the terms:
6 + -6 + -12x + x2 = 6 + -6

Combine like terms: 6 + -6 = 0
0 + -12x + x2 = 6 + -6
-12x + x2 = 6 + -6

Combine like terms: 6 + -6 = 0
-12x + x2 = 0

Solving
-12x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-12 + x) = 0

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 '(-12 + x)' equal to zero and attempt to solve: Simplifying -12 + x = 0 Solving -12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + x = 0 + 12 x = 0 + 12 Combine like terms: 0 + 12 = 12 x = 12 Simplifying x = 12

Solution

x = {0, 12}

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