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Simplifying (50 + -2x)(40 + -2x) * x = 5000 Reorder the terms for easier multiplication: x(50 + -2x)(40 + -2x) = 5000 Multiply (50 + -2x) * (40 + -2x) x(50(40 + -2x) + -2x * (40 + -2x)) = 5000 x((40 * 50 + -2x * 50) + -2x * (40 + -2x)) = 5000 x((2000 + -100x) + -2x * (40 + -2x)) = 5000 x(2000 + -100x + (40 * -2x + -2x * -2x)) = 5000 x(2000 + -100x + (-80x + 4x2)) = 5000 Combine like terms: -100x + -80x = -180x x(2000 + -180x + 4x2) = 5000 (2000 * x + -180x * x + 4x2 * x) = 5000 (2000x + -180x2 + 4x3) = 5000 Solving 2000x + -180x2 + 4x3 = 5000 Solving for variable 'x'. Reorder the terms: -5000 + 2000x + -180x2 + 4x3 = 5000 + -5000 Combine like terms: 5000 + -5000 = 0 -5000 + 2000x + -180x2 + 4x3 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-1250 + 500x + -45x2 + x3) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1250 + 500x + -45x2 + x3)' equal to zero and attempt to solve: Simplifying -1250 + 500x + -45x2 + x3 = 0 Solving -1250 + 500x + -45x2 + x3 = 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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