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Simplifying (x) * x(x) + (x + 6) * x(x + 6) = 90 Multiply x * x x2 * x + (x + 6) * x(x + 6) = 90 Multiply x2 * x x3 + (x + 6) * x(x + 6) = 90 Reorder the terms: x3 + (6 + x) * x(x + 6) = 90 Reorder the terms: x3 + (6 + x) * x(6 + x) = 90 Reorder the terms for easier multiplication: x3 + x(6 + x)(6 + x) = 90 Multiply (6 + x) * (6 + x) x3 + x(6(6 + x) + x(6 + x)) = 90 x3 + x((6 * 6 + x * 6) + x(6 + x)) = 90 x3 + x((36 + 6x) + x(6 + x)) = 90 x3 + x(36 + 6x + (6 * x + x * x)) = 90 x3 + x(36 + 6x + (6x + x2)) = 90 Combine like terms: 6x + 6x = 12x x3 + x(36 + 12x + x2) = 90 x3 + (36 * x + 12x * x + x2 * x) = 90 x3 + (36x + 12x2 + x3) = 90 Reorder the terms: 36x + 12x2 + x3 + x3 = 90 Combine like terms: x3 + x3 = 2x3 36x + 12x2 + 2x3 = 90 Solving 36x + 12x2 + 2x3 = 90 Solving for variable 'x'. Reorder the terms: -90 + 36x + 12x2 + 2x3 = 90 + -90 Combine like terms: 90 + -90 = 0 -90 + 36x + 12x2 + 2x3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-45 + 18x + 6x2 + x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-45 + 18x + 6x2 + x3)' equal to zero and attempt to solve: Simplifying -45 + 18x + 6x2 + x3 = 0 Solving -45 + 18x + 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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