6x^2-6x+12xy=0

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Solution for 6x^2-6x+12xy=0 equation:


Simplifying
6x2 + -6x + 12xy = 0

Reorder the terms:
-6x + 12xy + 6x2 = 0

Solving
-6x + 12xy + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-1 + 2y + x) = 0

Ignore the factor 6.

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 '(-1 + 2y + x)' equal to zero and attempt to solve: Simplifying -1 + 2y + x = 0 Reorder the terms: -1 + x + 2y = 0 Solving -1 + x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + x + 1 + 2y = 0 + 1 Reorder the terms: -1 + 1 + x + 2y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x + 2y = 0 + 1 x + 2y = 0 + 1 Combine like terms: 0 + 1 = 1 x + 2y = 1 Add '-2y' to each side of the equation. x + 2y + -2y = 1 + -2y Combine like terms: 2y + -2y = 0 x + 0 = 1 + -2y x = 1 + -2y Simplifying x = 1 + -2y

Solution

x = {0, 1 + -2y}

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