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