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Simplifying 6x2 + -12xy2 + 18xy = 0 Reorder the terms: 18xy + -12xy2 + 6x2 = 0 Solving 18xy + -12xy2 + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(3y + -2y2 + 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 = 0Subproblem 2
Set the factor '(3y + -2y2 + x)' equal to zero and attempt to solve: Simplifying 3y + -2y2 + x = 0 Reorder the terms: x + 3y + -2y2 = 0 Solving x + 3y + -2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. x + 3y + -3y + -2y2 = 0 + -3y Combine like terms: 3y + -3y = 0 x + 0 + -2y2 = 0 + -3y x + -2y2 = 0 + -3y Remove the zero: x + -2y2 = -3y Add '2y2' to each side of the equation. x + -2y2 + 2y2 = -3y + 2y2 Combine like terms: -2y2 + 2y2 = 0 x + 0 = -3y + 2y2 x = -3y + 2y2 Simplifying x = -3y + 2y2Solution
x = {0, -3y + 2y2}
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