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Simplifying 3xy + 9x2 + -15xy2 = 0 Reorder the terms: 3xy + -15xy2 + 9x2 = 0 Solving 3xy + -15xy2 + 9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(y + -5y2 + 3x) = 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 '(y + -5y2 + 3x)' equal to zero and attempt to solve: Simplifying y + -5y2 + 3x = 0 Reorder the terms: 3x + y + -5y2 = 0 Solving 3x + y + -5y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 3x + y + -1y + -5y2 = 0 + -1y Combine like terms: y + -1y = 0 3x + 0 + -5y2 = 0 + -1y 3x + -5y2 = 0 + -1y Remove the zero: 3x + -5y2 = -1y Add '5y2' to each side of the equation. 3x + -5y2 + 5y2 = -1y + 5y2 Combine like terms: -5y2 + 5y2 = 0 3x + 0 = -1y + 5y2 3x = -1y + 5y2 Divide each side by '3'. x = -0.3333333333y + 1.666666667y2 Simplifying x = -0.3333333333y + 1.666666667y2Solution
x = {0, -0.3333333333y + 1.666666667y2}
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