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Simplifying 180 = x(2x + 2)(2x + 4) Reorder the terms: 180 = x(2 + 2x)(2x + 4) Reorder the terms: 180 = x(2 + 2x)(4 + 2x) Multiply (2 + 2x) * (4 + 2x) 180 = x(2(4 + 2x) + 2x * (4 + 2x)) 180 = x((4 * 2 + 2x * 2) + 2x * (4 + 2x)) 180 = x((8 + 4x) + 2x * (4 + 2x)) 180 = x(8 + 4x + (4 * 2x + 2x * 2x)) 180 = x(8 + 4x + (8x + 4x2)) Combine like terms: 4x + 8x = 12x 180 = x(8 + 12x + 4x2) 180 = (8 * x + 12x * x + 4x2 * x) 180 = (8x + 12x2 + 4x3) Solving 180 = 8x + 12x2 + 4x3 Solving for variable 'x'. Reorder the terms: 180 + -8x + -12x2 + -4x3 = 8x + -8x + 12x2 + -12x2 + 4x3 + -4x3 Combine like terms: 8x + -8x = 0 180 + -8x + -12x2 + -4x3 = 0 + 12x2 + -12x2 + 4x3 + -4x3 180 + -8x + -12x2 + -4x3 = 12x2 + -12x2 + 4x3 + -4x3 Combine like terms: 12x2 + -12x2 = 0 180 + -8x + -12x2 + -4x3 = 0 + 4x3 + -4x3 180 + -8x + -12x2 + -4x3 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 180 + -8x + -12x2 + -4x3 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(45 + -2x + -3x2 + -1x3) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(45 + -2x + -3x2 + -1x3)' equal to zero and attempt to solve: Simplifying 45 + -2x + -3x2 + -1x3 = 0 Solving 45 + -2x + -3x2 + -1x3 = 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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