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Simplifying 4x3y(-1x2y + 2xy + -5xy2) = 0 Reorder the terms: 4x3y(2xy + -5xy2 + -1x2y) = 0 (2xy * 4x3y + -5xy2 * 4x3y + -1x2y * 4x3y) = 0 (8x4y2 + -20x4y3 + -4x5y2) = 0 Solving 8x4y2 + -20x4y3 + -4x5y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x4y2'. 4x4y2(2 + -5y + -1x) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'x4y2' equal to zero and attempt to solve: Simplifying x4y2 = 0 Solving x4y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4y2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2 + -5y + -1x)' equal to zero and attempt to solve: Simplifying 2 + -5y + -1x = 0 Reorder the terms: 2 + -1x + -5y = 0 Solving 2 + -1x + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -1x + -2 + -5y = 0 + -2 Reorder the terms: 2 + -2 + -1x + -5y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x + -5y = 0 + -2 -1x + -5y = 0 + -2 Combine like terms: 0 + -2 = -2 -1x + -5y = -2 Add '5y' to each side of the equation. -1x + -5y + 5y = -2 + 5y Combine like terms: -5y + 5y = 0 -1x + 0 = -2 + 5y -1x = -2 + 5y Divide each side by '-1'. x = 2 + -5y Simplifying x = 2 + -5ySolution
x = {2 + -5y}
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