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Simplifying (3x)(4x + -20)(6x + -60) = 180 Remove parenthesis around (3x) 3x(4x + -20)(6x + -60) = 180 Reorder the terms: 3x(-20 + 4x)(6x + -60) = 180 Reorder the terms: 3x(-20 + 4x)(-60 + 6x) = 180 Multiply (-20 + 4x) * (-60 + 6x) 3x(-20(-60 + 6x) + 4x * (-60 + 6x)) = 180 3x((-60 * -20 + 6x * -20) + 4x * (-60 + 6x)) = 180 3x((1200 + -120x) + 4x * (-60 + 6x)) = 180 3x(1200 + -120x + (-60 * 4x + 6x * 4x)) = 180 3x(1200 + -120x + (-240x + 24x2)) = 180 Combine like terms: -120x + -240x = -360x 3x(1200 + -360x + 24x2) = 180 (1200 * 3x + -360x * 3x + 24x2 * 3x) = 180 (3600x + -1080x2 + 72x3) = 180 Solving 3600x + -1080x2 + 72x3 = 180 Solving for variable 'x'. Reorder the terms: -180 + 3600x + -1080x2 + 72x3 = 180 + -180 Combine like terms: 180 + -180 = 0 -180 + 3600x + -1080x2 + 72x3 = 0 Factor out the Greatest Common Factor (GCF), '36'. 36(-5 + 100x + -30x2 + 2x3) = 0 Ignore the factor 36.Subproblem 1
Set the factor '(-5 + 100x + -30x2 + 2x3)' equal to zero and attempt to solve: Simplifying -5 + 100x + -30x2 + 2x3 = 0 Solving -5 + 100x + -30x2 + 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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