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Simplifying 5x(y + x)(2y + -1x) = 180 Reorder the terms: 5x(x + y)(2y + -1x) = 180 Reorder the terms: 5x(x + y)(-1x + 2y) = 180 Multiply (x + y) * (-1x + 2y) 5x(x(-1x + 2y) + y(-1x + 2y)) = 180 5x((-1x * x + 2y * x) + y(-1x + 2y)) = 180 Reorder the terms: 5x((2xy + -1x2) + y(-1x + 2y)) = 180 5x((2xy + -1x2) + y(-1x + 2y)) = 180 5x(2xy + -1x2 + (-1x * y + 2y * y)) = 180 5x(2xy + -1x2 + (-1xy + 2y2)) = 180 Reorder the terms: 5x(2xy + -1xy + -1x2 + 2y2) = 180 Combine like terms: 2xy + -1xy = 1xy 5x(1xy + -1x2 + 2y2) = 180 (1xy * 5x + -1x2 * 5x + 2y2 * 5x) = 180 Reorder the terms: (10xy2 + 5x2y + -5x3) = 180 (10xy2 + 5x2y + -5x3) = 180 Solving 10xy2 + 5x2y + -5x3 = 180 Solving for variable 'x'. Reorder the terms: -180 + 10xy2 + 5x2y + -5x3 = 180 + -180 Combine like terms: 180 + -180 = 0 -180 + 10xy2 + 5x2y + -5x3 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-36 + 2xy2 + x2y + -1x3) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-36 + 2xy2 + x2y + -1x3)' equal to zero and attempt to solve: Simplifying -36 + 2xy2 + x2y + -1x3 = 0 Solving -36 + 2xy2 + x2y + -1x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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