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Simplifying 15xy + 9x2 + -16xy + -12x2 = 0 Reorder the terms: 15xy + -16xy + 9x2 + -12x2 = 0 Combine like terms: 15xy + -16xy = -1xy -1xy + 9x2 + -12x2 = 0 Combine like terms: 9x2 + -12x2 = -3x2 -1xy + -3x2 = 0 Solving -1xy + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(y + 3x) = 0 Ignore the factor -1.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 + 3x)' equal to zero and attempt to solve: Simplifying y + 3x = 0 Reorder the terms: 3x + y = 0 Solving 3x + y = 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 = 0 + -1y Combine like terms: y + -1y = 0 3x + 0 = 0 + -1y 3x = 0 + -1y Remove the zero: 3x = -1y Divide each side by '3'. x = -0.3333333333y Simplifying x = -0.3333333333ySolution
x = {0, -0.3333333333y}
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