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Simplifying (9x3)(12x + -24)(x2 + 4x)(x + -2) = 0 Remove parenthesis around (9x3) 9x3(12x + -24)(x2 + 4x)(x + -2) = 0 Reorder the terms: 9x3(-24 + 12x)(x2 + 4x)(x + -2) = 0 Reorder the terms: 9x3(-24 + 12x)(4x + x2)(x + -2) = 0 Reorder the terms: 9x3(-24 + 12x)(4x + x2)(-2 + x) = 0 Multiply (-24 + 12x) * (4x + x2) 9x3(-24(4x + x2) + 12x * (4x + x2))(-2 + x) = 0 9x3((4x * -24 + x2 * -24) + 12x * (4x + x2))(-2 + x) = 0 9x3((-96x + -24x2) + 12x * (4x + x2))(-2 + x) = 0 9x3(-96x + -24x2 + (4x * 12x + x2 * 12x))(-2 + x) = 0 9x3(-96x + -24x2 + (48x2 + 12x3))(-2 + x) = 0 Combine like terms: -24x2 + 48x2 = 24x2 9x3(-96x + 24x2 + 12x3)(-2 + x) = 0 Multiply (-96x + 24x2 + 12x3) * (-2 + x) 9x3(-96x * (-2 + x) + 24x2 * (-2 + x) + 12x3 * (-2 + x)) = 0 9x3((-2 * -96x + x * -96x) + 24x2 * (-2 + x) + 12x3 * (-2 + x)) = 0 9x3((192x + -96x2) + 24x2 * (-2 + x) + 12x3 * (-2 + x)) = 0 9x3(192x + -96x2 + (-2 * 24x2 + x * 24x2) + 12x3 * (-2 + x)) = 0 9x3(192x + -96x2 + (-48x2 + 24x3) + 12x3 * (-2 + x)) = 0 9x3(192x + -96x2 + -48x2 + 24x3 + (-2 * 12x3 + x * 12x3)) = 0 9x3(192x + -96x2 + -48x2 + 24x3 + (-24x3 + 12x4)) = 0 Combine like terms: -96x2 + -48x2 = -144x2 9x3(192x + -144x2 + 24x3 + -24x3 + 12x4) = 0 Combine like terms: 24x3 + -24x3 = 0 9x3(192x + -144x2 + 0 + 12x4) = 0 9x3(192x + -144x2 + 12x4) = 0 (192x * 9x3 + -144x2 * 9x3 + 12x4 * 9x3) = 0 (1728x4 + -1296x5 + 108x7) = 0 Solving 1728x4 + -1296x5 + 108x7 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '108x4'. 108x4(16 + -12x + x3) = 0 Ignore the factor 108.Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(16 + -12x + x3)' equal to zero and attempt to solve: Simplifying 16 + -12x + x3 = 0 Solving 16 + -12x + 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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