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Simplifying (3x + -4 + 2y) * x(2y + 3y + 2x) = 0 Reorder the terms: (-4 + 3x + 2y) * x(2y + 3y + 2x) = 0 Reorder the terms: (-4 + 3x + 2y) * x(2x + 2y + 3y) = 0 Combine like terms: 2y + 3y = 5y (-4 + 3x + 2y) * x(2x + 5y) = 0 Reorder the terms for easier multiplication: x(-4 + 3x + 2y)(2x + 5y) = 0 Multiply (-4 + 3x + 2y) * (2x + 5y) x(-4(2x + 5y) + 3x * (2x + 5y) + 2y * (2x + 5y)) = 0 x((2x * -4 + 5y * -4) + 3x * (2x + 5y) + 2y * (2x + 5y)) = 0 x((-8x + -20y) + 3x * (2x + 5y) + 2y * (2x + 5y)) = 0 x(-8x + -20y + (2x * 3x + 5y * 3x) + 2y * (2x + 5y)) = 0 Reorder the terms: x(-8x + -20y + (15xy + 6x2) + 2y * (2x + 5y)) = 0 x(-8x + -20y + (15xy + 6x2) + 2y * (2x + 5y)) = 0 x(-8x + -20y + 15xy + 6x2 + (2x * 2y + 5y * 2y)) = 0 x(-8x + -20y + 15xy + 6x2 + (4xy + 10y2)) = 0 Reorder the terms: x(-8x + 15xy + 4xy + 6x2 + -20y + 10y2) = 0 Combine like terms: 15xy + 4xy = 19xy x(-8x + 19xy + 6x2 + -20y + 10y2) = 0 (-8x * x + 19xy * x + 6x2 * x + -20y * x + 10y2 * x) = 0 Reorder the terms: (-20xy + 10xy2 + -8x2 + 19x2y + 6x3) = 0 (-20xy + 10xy2 + -8x2 + 19x2y + 6x3) = 0 Solving -20xy + 10xy2 + -8x2 + 19x2y + 6x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-20y + 10y2 + -8x + 19xy + 6x2) = 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 '(-20y + 10y2 + -8x + 19xy + 6x2)' equal to zero and attempt to solve: Simplifying -20y + 10y2 + -8x + 19xy + 6x2 = 0 Reorder the terms: -8x + 19xy + 6x2 + -20y + 10y2 = 0 Solving -8x + 19xy + 6x2 + -20y + 10y2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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