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Simplifying x(x + 1) * 2(x + 2) = 72 Reorder the terms: x(1 + x) * 2(x + 2) = 72 Reorder the terms: x(1 + x) * 2(2 + x) = 72 Reorder the terms for easier multiplication: 2x(1 + x)(2 + x) = 72 Multiply (1 + x) * (2 + x) 2x(1(2 + x) + x(2 + x)) = 72 2x((2 * 1 + x * 1) + x(2 + x)) = 72 2x((2 + 1x) + x(2 + x)) = 72 2x(2 + 1x + (2 * x + x * x)) = 72 2x(2 + 1x + (2x + x2)) = 72 Combine like terms: 1x + 2x = 3x 2x(2 + 3x + x2) = 72 (2 * 2x + 3x * 2x + x2 * 2x) = 72 (4x + 6x2 + 2x3) = 72 Solving 4x + 6x2 + 2x3 = 72 Solving for variable 'x'. Reorder the terms: -72 + 4x + 6x2 + 2x3 = 72 + -72 Combine like terms: 72 + -72 = 0 -72 + 4x + 6x2 + 2x3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-36 + 2x + 3x2 + x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-36 + 2x + 3x2 + x3)' equal to zero and attempt to solve: Simplifying -36 + 2x + 3x2 + x3 = 0 Solving -36 + 2x + 3x2 + 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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