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Simplifying 3x(3x + -1y) + -2x(3x + -1y) = 0 (3x * 3x + -1y * 3x) + -2x(3x + -1y) = 0 Reorder the terms: (-3xy + 9x2) + -2x(3x + -1y) = 0 (-3xy + 9x2) + -2x(3x + -1y) = 0 -3xy + 9x2 + (3x * -2x + -1y * -2x) = 0 Reorder the terms: -3xy + 9x2 + (2xy + -6x2) = 0 -3xy + 9x2 + (2xy + -6x2) = 0 Reorder the terms: -3xy + 2xy + 9x2 + -6x2 = 0 Combine like terms: -3xy + 2xy = -1xy -1xy + 9x2 + -6x2 = 0 Combine like terms: 9x2 + -6x2 = 3x2 -1xy + 3x2 = 0 Solving -1xy + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-1y + 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 '(-1y + 3x)' equal to zero and attempt to solve: Simplifying -1y + 3x = 0 Reorder the terms: 3x + -1y = 0 Solving 3x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 3x + -1y + y = 0 + y Combine like terms: -1y + y = 0 3x + 0 = 0 + y 3x = 0 + y Remove the zero: 3x = y Divide each side by '3'. x = 0.3333333333y Simplifying x = 0.3333333333ySolution
x = {0, 0.3333333333y}
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