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Simplifying (6x + 6)(24x2 + 7x + 6) = 0 Reorder the terms: (6 + 6x)(24x2 + 7x + 6) = 0 Reorder the terms: (6 + 6x)(6 + 7x + 24x2) = 0 Multiply (6 + 6x) * (6 + 7x + 24x2) (6(6 + 7x + 24x2) + 6x * (6 + 7x + 24x2)) = 0 ((6 * 6 + 7x * 6 + 24x2 * 6) + 6x * (6 + 7x + 24x2)) = 0 ((36 + 42x + 144x2) + 6x * (6 + 7x + 24x2)) = 0 (36 + 42x + 144x2 + (6 * 6x + 7x * 6x + 24x2 * 6x)) = 0 (36 + 42x + 144x2 + (36x + 42x2 + 144x3)) = 0 Reorder the terms: (36 + 42x + 36x + 144x2 + 42x2 + 144x3) = 0 Combine like terms: 42x + 36x = 78x (36 + 78x + 144x2 + 42x2 + 144x3) = 0 Combine like terms: 144x2 + 42x2 = 186x2 (36 + 78x + 186x2 + 144x3) = 0 Solving 36 + 78x + 186x2 + 144x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(6 + 13x + 31x2 + 24x3) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(6 + 13x + 31x2 + 24x3)' equal to zero and attempt to solve: Simplifying 6 + 13x + 31x2 + 24x3 = 0 Solving 6 + 13x + 31x2 + 24x3 = 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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