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Simplifying 0 = 3x2 + 6xy Reorder the terms: 0 = 6xy + 3x2 Solving 0 = 6xy + 3x2 Solving for variable 'x'. Remove the zero: -6xy + -3x2 = 6xy + 3x2 + -6xy + -3x2 Reorder the terms: -6xy + -3x2 = 6xy + -6xy + 3x2 + -3x2 Combine like terms: 6xy + -6xy = 0 -6xy + -3x2 = 0 + 3x2 + -3x2 -6xy + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -6xy + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '-3x'. -3x(2y + x) = 0 Ignore the factor -3.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 = 0Subproblem 2
Set the factor '(2y + x)' equal to zero and attempt to solve: Simplifying 2y + x = 0 Reorder the terms: x + 2y = 0 Solving x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 x + 0 = 0 + -2y x = 0 + -2y Remove the zero: x = -2y Simplifying x = -2ySolution
x = {0, -2y}
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