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Simplifying (4x + 12y)(20x + -1y) = 40 Multiply (4x + 12y) * (20x + -1y) (4x * (20x + -1y) + 12y * (20x + -1y)) = 40 ((20x * 4x + -1y * 4x) + 12y * (20x + -1y)) = 40 Reorder the terms: ((-4xy + 80x2) + 12y * (20x + -1y)) = 40 ((-4xy + 80x2) + 12y * (20x + -1y)) = 40 (-4xy + 80x2 + (20x * 12y + -1y * 12y)) = 40 (-4xy + 80x2 + (240xy + -12y2)) = 40 Reorder the terms: (-4xy + 240xy + 80x2 + -12y2) = 40 Combine like terms: -4xy + 240xy = 236xy (236xy + 80x2 + -12y2) = 40 Solving 236xy + 80x2 + -12y2 = 40 Solving for variable 'x'. Reorder the terms: -40 + 236xy + 80x2 + -12y2 = 40 + -40 Combine like terms: 40 + -40 = 0 -40 + 236xy + 80x2 + -12y2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-10 + 59xy + 20x2 + -3y2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-10 + 59xy + 20x2 + -3y2)' equal to zero and attempt to solve: Simplifying -10 + 59xy + 20x2 + -3y2 = 0 Solving -10 + 59xy + 20x2 + -3y2 = 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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