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Simplifying 5(x + 6)(x + 6)(x + -6) = 0 Reorder the terms: 5(6 + x)(x + 6)(x + -6) = 0 Reorder the terms: 5(6 + x)(6 + x)(x + -6) = 0 Reorder the terms: 5(6 + x)(6 + x)(-6 + x) = 0 Multiply (6 + x) * (6 + x) 5(6(6 + x) + x(6 + x))(-6 + x) = 0 5((6 * 6 + x * 6) + x(6 + x))(-6 + x) = 0 5((36 + 6x) + x(6 + x))(-6 + x) = 0 5(36 + 6x + (6 * x + x * x))(-6 + x) = 0 5(36 + 6x + (6x + x2))(-6 + x) = 0 Combine like terms: 6x + 6x = 12x 5(36 + 12x + x2)(-6 + x) = 0 Multiply (36 + 12x + x2) * (-6 + x) 5(36(-6 + x) + 12x * (-6 + x) + x2(-6 + x)) = 0 5((-6 * 36 + x * 36) + 12x * (-6 + x) + x2(-6 + x)) = 0 5((-216 + 36x) + 12x * (-6 + x) + x2(-6 + x)) = 0 5(-216 + 36x + (-6 * 12x + x * 12x) + x2(-6 + x)) = 0 5(-216 + 36x + (-72x + 12x2) + x2(-6 + x)) = 0 5(-216 + 36x + -72x + 12x2 + (-6 * x2 + x * x2)) = 0 5(-216 + 36x + -72x + 12x2 + (-6x2 + x3)) = 0 Combine like terms: 36x + -72x = -36x 5(-216 + -36x + 12x2 + -6x2 + x3) = 0 Combine like terms: 12x2 + -6x2 = 6x2 5(-216 + -36x + 6x2 + x3) = 0 (-216 * 5 + -36x * 5 + 6x2 * 5 + x3 * 5) = 0 (-1080 + -180x + 30x2 + 5x3) = 0 Solving -1080 + -180x + 30x2 + 5x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(-216 + -36x + 6x2 + x3) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-216 + -36x + 6x2 + x3)' equal to zero and attempt to solve: Simplifying -216 + -36x + 6x2 + x3 = 0 Solving -216 + -36x + 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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