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Simplifying (6x + 8)(5x)(6x + 3) = 164 Reorder the terms: (8 + 6x)(5x)(6x + 3) = 164 Remove parenthesis around (5x) (8 + 6x) * 5x(6x + 3) = 164 Reorder the terms: (8 + 6x) * 5x(3 + 6x) = 164 Reorder the terms for easier multiplication: 5x(8 + 6x)(3 + 6x) = 164 Multiply (8 + 6x) * (3 + 6x) 5x(8(3 + 6x) + 6x * (3 + 6x)) = 164 5x((3 * 8 + 6x * 8) + 6x * (3 + 6x)) = 164 5x((24 + 48x) + 6x * (3 + 6x)) = 164 5x(24 + 48x + (3 * 6x + 6x * 6x)) = 164 5x(24 + 48x + (18x + 36x2)) = 164 Combine like terms: 48x + 18x = 66x 5x(24 + 66x + 36x2) = 164 (24 * 5x + 66x * 5x + 36x2 * 5x) = 164 (120x + 330x2 + 180x3) = 164 Solving 120x + 330x2 + 180x3 = 164 Solving for variable 'x'. Reorder the terms: -164 + 120x + 330x2 + 180x3 = 164 + -164 Combine like terms: 164 + -164 = 0 -164 + 120x + 330x2 + 180x3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-82 + 60x + 165x2 + 90x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-82 + 60x + 165x2 + 90x3)' equal to zero and attempt to solve: Simplifying -82 + 60x + 165x2 + 90x3 = 0 Solving -82 + 60x + 165x2 + 90x3 = 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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