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Simplifying (x2 + -3xy) + -1(-2x2 + xy) = 0 Reorder the terms: (-3xy + x2) + -1(-2x2 + xy) = 0 Remove parenthesis around (-3xy + x2) -3xy + x2 + -1(-2x2 + xy) = 0 Reorder the terms: -3xy + x2 + -1(xy + -2x2) = 0 -3xy + x2 + (xy * -1 + -2x2 * -1) = 0 -3xy + x2 + (-1xy + 2x2) = 0 Reorder the terms: -3xy + -1xy + x2 + 2x2 = 0 Combine like terms: -3xy + -1xy = -4xy -4xy + x2 + 2x2 = 0 Combine like terms: x2 + 2x2 = 3x2 -4xy + 3x2 = 0 Solving -4xy + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-4y + 3x) = 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 '(-4y + 3x)' equal to zero and attempt to solve: Simplifying -4y + 3x = 0 Reorder the terms: 3x + -4y = 0 Solving 3x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 3x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 3x + 0 = 0 + 4y 3x = 0 + 4y Remove the zero: 3x = 4y Divide each side by '3'. x = 1.333333333y Simplifying x = 1.333333333ySolution
x = {0, 1.333333333y}
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