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Simplifying (9x + 6)(6x2 + -6x + 4) = 0 Reorder the terms: (6 + 9x)(6x2 + -6x + 4) = 0 Reorder the terms: (6 + 9x)(4 + -6x + 6x2) = 0 Multiply (6 + 9x) * (4 + -6x + 6x2) (6(4 + -6x + 6x2) + 9x * (4 + -6x + 6x2)) = 0 ((4 * 6 + -6x * 6 + 6x2 * 6) + 9x * (4 + -6x + 6x2)) = 0 ((24 + -36x + 36x2) + 9x * (4 + -6x + 6x2)) = 0 (24 + -36x + 36x2 + (4 * 9x + -6x * 9x + 6x2 * 9x)) = 0 (24 + -36x + 36x2 + (36x + -54x2 + 54x3)) = 0 Reorder the terms: (24 + -36x + 36x + 36x2 + -54x2 + 54x3) = 0 Combine like terms: -36x + 36x = 0 (24 + 0 + 36x2 + -54x2 + 54x3) = 0 (24 + 36x2 + -54x2 + 54x3) = 0 Combine like terms: 36x2 + -54x2 = -18x2 (24 + -18x2 + 54x3) = 0 Solving 24 + -18x2 + 54x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(4 + -3x2 + 9x3) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(4 + -3x2 + 9x3)' equal to zero and attempt to solve: Simplifying 4 + -3x2 + 9x3 = 0 Solving 4 + -3x2 + 9x3 = 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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