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Simplifying 2x(4x + -3y) * 4(2x + 5y) = 2 Reorder the terms for easier multiplication: 2 * 4x(4x + -3y)(2x + 5y) = 2 Multiply 2 * 4 8x(4x + -3y)(2x + 5y) = 2 Multiply (4x + -3y) * (2x + 5y) 8x(4x * (2x + 5y) + -3y * (2x + 5y)) = 2 8x((2x * 4x + 5y * 4x) + -3y * (2x + 5y)) = 2 Reorder the terms: 8x((20xy + 8x2) + -3y * (2x + 5y)) = 2 8x((20xy + 8x2) + -3y * (2x + 5y)) = 2 8x(20xy + 8x2 + (2x * -3y + 5y * -3y)) = 2 8x(20xy + 8x2 + (-6xy + -15y2)) = 2 Reorder the terms: 8x(20xy + -6xy + 8x2 + -15y2) = 2 Combine like terms: 20xy + -6xy = 14xy 8x(14xy + 8x2 + -15y2) = 2 (14xy * 8x + 8x2 * 8x + -15y2 * 8x) = 2 Reorder the terms: (-120xy2 + 112x2y + 64x3) = 2 (-120xy2 + 112x2y + 64x3) = 2 Solving -120xy2 + 112x2y + 64x3 = 2 Solving for variable 'x'. Reorder the terms: -2 + -120xy2 + 112x2y + 64x3 = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -120xy2 + 112x2y + 64x3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -60xy2 + 56x2y + 32x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -60xy2 + 56x2y + 32x3)' equal to zero and attempt to solve: Simplifying -1 + -60xy2 + 56x2y + 32x3 = 0 Solving -1 + -60xy2 + 56x2y + 32x3 = 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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