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Simplifying 12xy + 12x2 + -5yx + -2x + 4xy + -11x2 = 0 Reorder the terms: -2x + 12xy + -5xy + 4xy + 12x2 + -11x2 = 0 Combine like terms: 12xy + -5xy = 7xy -2x + 7xy + 4xy + 12x2 + -11x2 = 0 Combine like terms: 7xy + 4xy = 11xy -2x + 11xy + 12x2 + -11x2 = 0 Combine like terms: 12x2 + -11x2 = 1x2 -2x + 11xy + 1x2 = 0 Solving -2x + 11xy + 1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-2 + 11y + x) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(-2 + 11y + x)' equal to zero and attempt to solve: Simplifying -2 + 11y + x = 0 Reorder the terms: -2 + x + 11y = 0 Solving -2 + x + 11y = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + x + 2 + 11y = 0 + 2 Reorder the terms: -2 + 2 + x + 11y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x + 11y = 0 + 2 x + 11y = 0 + 2 Combine like terms: 0 + 2 = 2 x + 11y = 2 Add '-11y' to each side of the equation. x + 11y + -11y = 2 + -11y Combine like terms: 11y + -11y = 0 x + 0 = 2 + -11y x = 2 + -11y Simplifying x = 2 + -11ySolution
x = {0, 2 + -11y}
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