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Simplifying (4x)(2y + x)(2y + -1x) = 180 Remove parenthesis around (4x) 4x(2y + x)(2y + -1x) = 180 Reorder the terms: 4x(x + 2y)(2y + -1x) = 180 Reorder the terms: 4x(x + 2y)(-1x + 2y) = 180 Multiply (x + 2y) * (-1x + 2y) 4x(x(-1x + 2y) + 2y * (-1x + 2y)) = 180 4x((-1x * x + 2y * x) + 2y * (-1x + 2y)) = 180 Reorder the terms: 4x((2xy + -1x2) + 2y * (-1x + 2y)) = 180 4x((2xy + -1x2) + 2y * (-1x + 2y)) = 180 4x(2xy + -1x2 + (-1x * 2y + 2y * 2y)) = 180 4x(2xy + -1x2 + (-2xy + 4y2)) = 180 Reorder the terms: 4x(2xy + -2xy + -1x2 + 4y2) = 180 Combine like terms: 2xy + -2xy = 0 4x(0 + -1x2 + 4y2) = 180 4x(-1x2 + 4y2) = 180 (-1x2 * 4x + 4y2 * 4x) = 180 Reorder the terms: (16xy2 + -4x3) = 180 (16xy2 + -4x3) = 180 Solving 16xy2 + -4x3 = 180 Solving for variable 'x'. Reorder the terms: -180 + 16xy2 + -4x3 = 180 + -180 Combine like terms: 180 + -180 = 0 -180 + 16xy2 + -4x3 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-45 + 4xy2 + -1x3) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-45 + 4xy2 + -1x3)' equal to zero and attempt to solve: Simplifying -45 + 4xy2 + -1x3 = 0 Solving -45 + 4xy2 + -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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