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Simplifying 12xy + 4x2 + -11yx + -11x + xy + -3x2 = 0 Reorder the terms: -11x + 12xy + -11xy + xy + 4x2 + -3x2 = 0 Combine like terms: 12xy + -11xy = 1xy -11x + 1xy + xy + 4x2 + -3x2 = 0 Combine like terms: 1xy + xy = 2xy -11x + 2xy + 4x2 + -3x2 = 0 Combine like terms: 4x2 + -3x2 = 1x2 -11x + 2xy + 1x2 = 0 Solving -11x + 2xy + 1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-11 + 2y + 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 '(-11 + 2y + x)' equal to zero and attempt to solve: Simplifying -11 + 2y + x = 0 Reorder the terms: -11 + x + 2y = 0 Solving -11 + x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + x + 11 + 2y = 0 + 11 Reorder the terms: -11 + 11 + x + 2y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + x + 2y = 0 + 11 x + 2y = 0 + 11 Combine like terms: 0 + 11 = 11 x + 2y = 11 Add '-2y' to each side of the equation. x + 2y + -2y = 11 + -2y Combine like terms: 2y + -2y = 0 x + 0 = 11 + -2y x = 11 + -2y Simplifying x = 11 + -2ySolution
x = {0, 11 + -2y}
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