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Simplifying (2x + -5)(x + 40)(4x) = 180 Reorder the terms: (-5 + 2x)(x + 40)(4x) = 180 Reorder the terms: (-5 + 2x)(40 + x)(4x) = 180 Remove parenthesis around (4x) (-5 + 2x)(40 + x) * 4x = 180 Reorder the terms for easier multiplication: 4x(-5 + 2x)(40 + x) = 180 Multiply (-5 + 2x) * (40 + x) 4x(-5(40 + x) + 2x * (40 + x)) = 180 4x((40 * -5 + x * -5) + 2x * (40 + x)) = 180 4x((-200 + -5x) + 2x * (40 + x)) = 180 4x(-200 + -5x + (40 * 2x + x * 2x)) = 180 4x(-200 + -5x + (80x + 2x2)) = 180 Combine like terms: -5x + 80x = 75x 4x(-200 + 75x + 2x2) = 180 (-200 * 4x + 75x * 4x + 2x2 * 4x) = 180 (-800x + 300x2 + 8x3) = 180 Solving -800x + 300x2 + 8x3 = 180 Solving for variable 'x'. Reorder the terms: -180 + -800x + 300x2 + 8x3 = 180 + -180 Combine like terms: 180 + -180 = 0 -180 + -800x + 300x2 + 8x3 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-45 + -200x + 75x2 + 2x3) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-45 + -200x + 75x2 + 2x3)' equal to zero and attempt to solve: Simplifying -45 + -200x + 75x2 + 2x3 = 0 Solving -45 + -200x + 75x2 + 2x3 = 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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