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Simplifying (x + 5) * x(2x + 2) = 120 Reorder the terms: (5 + x) * x(2x + 2) = 120 Reorder the terms: (5 + x) * x(2 + 2x) = 120 Reorder the terms for easier multiplication: x(5 + x)(2 + 2x) = 120 Multiply (5 + x) * (2 + 2x) x(5(2 + 2x) + x(2 + 2x)) = 120 x((2 * 5 + 2x * 5) + x(2 + 2x)) = 120 x((10 + 10x) + x(2 + 2x)) = 120 x(10 + 10x + (2 * x + 2x * x)) = 120 x(10 + 10x + (2x + 2x2)) = 120 Combine like terms: 10x + 2x = 12x x(10 + 12x + 2x2) = 120 (10 * x + 12x * x + 2x2 * x) = 120 (10x + 12x2 + 2x3) = 120 Solving 10x + 12x2 + 2x3 = 120 Solving for variable 'x'. Reorder the terms: -120 + 10x + 12x2 + 2x3 = 120 + -120 Combine like terms: 120 + -120 = 0 -120 + 10x + 12x2 + 2x3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-60 + 5x + 6x2 + x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-60 + 5x + 6x2 + x3)' equal to zero and attempt to solve: Simplifying -60 + 5x + 6x2 + x3 = 0 Solving -60 + 5x + 6x2 + 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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