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Simplifying 6x2 + -3xy + 9xy2 = 0 Reorder the terms: -3xy + 9xy2 + 6x2 = 0 Solving -3xy + 9xy2 + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-1y + 3y2 + 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 '(-1y + 3y2 + 2x)' equal to zero and attempt to solve: Simplifying -1y + 3y2 + 2x = 0 Reorder the terms: 2x + -1y + 3y2 = 0 Solving 2x + -1y + 3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 2x + -1y + y + 3y2 = 0 + y Combine like terms: -1y + y = 0 2x + 0 + 3y2 = 0 + y 2x + 3y2 = 0 + y Remove the zero: 2x + 3y2 = y Add '-3y2' to each side of the equation. 2x + 3y2 + -3y2 = y + -3y2 Combine like terms: 3y2 + -3y2 = 0 2x + 0 = y + -3y2 2x = y + -3y2 Divide each side by '2'. x = 0.5y + -1.5y2 Simplifying x = 0.5y + -1.5y2Solution
x = {0, 0.5y + -1.5y2}
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