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Simplifying -3x + -6x2 + 9xy = 0 Reorder the terms: -3x + 9xy + -6x2 = 0 Solving -3x + 9xy + -6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-1 + 3y + -2x) = 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 '(-1 + 3y + -2x)' equal to zero and attempt to solve: Simplifying -1 + 3y + -2x = 0 Reorder the terms: -1 + -2x + 3y = 0 Solving -1 + -2x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -2x + 1 + 3y = 0 + 1 Reorder the terms: -1 + 1 + -2x + 3y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x + 3y = 0 + 1 -2x + 3y = 0 + 1 Combine like terms: 0 + 1 = 1 -2x + 3y = 1 Add '-3y' to each side of the equation. -2x + 3y + -3y = 1 + -3y Combine like terms: 3y + -3y = 0 -2x + 0 = 1 + -3y -2x = 1 + -3y Divide each side by '-2'. x = -0.5 + 1.5y Simplifying x = -0.5 + 1.5ySolution
x = {0, -0.5 + 1.5y}
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