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Simplifying 0 = (3x + -9)(3x + -9)(3x + -9)(3x + -9) Reorder the terms: 0 = (-9 + 3x)(3x + -9)(3x + -9)(3x + -9) Reorder the terms: 0 = (-9 + 3x)(-9 + 3x)(3x + -9)(3x + -9) Reorder the terms: 0 = (-9 + 3x)(-9 + 3x)(-9 + 3x)(3x + -9) Reorder the terms: 0 = (-9 + 3x)(-9 + 3x)(-9 + 3x)(-9 + 3x) Multiply (-9 + 3x) * (-9 + 3x) 0 = (-9(-9 + 3x) + 3x * (-9 + 3x))(-9 + 3x)(-9 + 3x) 0 = ((-9 * -9 + 3x * -9) + 3x * (-9 + 3x))(-9 + 3x)(-9 + 3x) 0 = ((81 + -27x) + 3x * (-9 + 3x))(-9 + 3x)(-9 + 3x) 0 = (81 + -27x + (-9 * 3x + 3x * 3x))(-9 + 3x)(-9 + 3x) 0 = (81 + -27x + (-27x + 9x2))(-9 + 3x)(-9 + 3x) Combine like terms: -27x + -27x = -54x 0 = (81 + -54x + 9x2)(-9 + 3x)(-9 + 3x) Multiply (81 + -54x + 9x2) * (-9 + 3x) 0 = (81(-9 + 3x) + -54x * (-9 + 3x) + 9x2 * (-9 + 3x))(-9 + 3x) 0 = ((-9 * 81 + 3x * 81) + -54x * (-9 + 3x) + 9x2 * (-9 + 3x))(-9 + 3x) 0 = ((-729 + 243x) + -54x * (-9 + 3x) + 9x2 * (-9 + 3x))(-9 + 3x) 0 = (-729 + 243x + (-9 * -54x + 3x * -54x) + 9x2 * (-9 + 3x))(-9 + 3x) 0 = (-729 + 243x + (486x + -162x2) + 9x2 * (-9 + 3x))(-9 + 3x) 0 = (-729 + 243x + 486x + -162x2 + (-9 * 9x2 + 3x * 9x2))(-9 + 3x) 0 = (-729 + 243x + 486x + -162x2 + (-81x2 + 27x3))(-9 + 3x) Combine like terms: 243x + 486x = 729x 0 = (-729 + 729x + -162x2 + -81x2 + 27x3)(-9 + 3x) Combine like terms: -162x2 + -81x2 = -243x2 0 = (-729 + 729x + -243x2 + 27x3)(-9 + 3x) Multiply (-729 + 729x + -243x2 + 27x3) * (-9 + 3x) 0 = (-729(-9 + 3x) + 729x * (-9 + 3x) + -243x2 * (-9 + 3x) + 27x3 * (-9 + 3x)) 0 = ((-9 * -729 + 3x * -729) + 729x * (-9 + 3x) + -243x2 * (-9 + 3x) + 27x3 * (-9 + 3x)) 0 = ((6561 + -2187x) + 729x * (-9 + 3x) + -243x2 * (-9 + 3x) + 27x3 * (-9 + 3x)) 0 = (6561 + -2187x + (-9 * 729x + 3x * 729x) + -243x2 * (-9 + 3x) + 27x3 * (-9 + 3x)) 0 = (6561 + -2187x + (-6561x + 2187x2) + -243x2 * (-9 + 3x) + 27x3 * (-9 + 3x)) 0 = (6561 + -2187x + -6561x + 2187x2 + (-9 * -243x2 + 3x * -243x2) + 27x3 * (-9 + 3x)) 0 = (6561 + -2187x + -6561x + 2187x2 + (2187x2 + -729x3) + 27x3 * (-9 + 3x)) 0 = (6561 + -2187x + -6561x + 2187x2 + 2187x2 + -729x3 + (-9 * 27x3 + 3x * 27x3)) 0 = (6561 + -2187x + -6561x + 2187x2 + 2187x2 + -729x3 + (-243x3 + 81x4)) Combine like terms: -2187x + -6561x = -8748x 0 = (6561 + -8748x + 2187x2 + 2187x2 + -729x3 + -243x3 + 81x4) Combine like terms: 2187x2 + 2187x2 = 4374x2 0 = (6561 + -8748x + 4374x2 + -729x3 + -243x3 + 81x4) Combine like terms: -729x3 + -243x3 = -972x3 0 = (6561 + -8748x + 4374x2 + -972x3 + 81x4) Solving 0 = 6561 + -8748x + 4374x2 + -972x3 + 81x4 Solving for variable 'x'. Combine like terms: 0 + -6561 = -6561 -6561 + 8748x + -4374x2 + 972x3 + -81x4 = 6561 + -8748x + 4374x2 + -972x3 + 81x4 + -6561 + 8748x + -4374x2 + 972x3 + -81x4 Reorder the terms: -6561 + 8748x + -4374x2 + 972x3 + -81x4 = 6561 + -6561 + -8748x + 8748x + 4374x2 + -4374x2 + -972x3 + 972x3 + 81x4 + -81x4 Combine like terms: 6561 + -6561 = 0 -6561 + 8748x + -4374x2 + 972x3 + -81x4 = 0 + -8748x + 8748x + 4374x2 + -4374x2 + -972x3 + 972x3 + 81x4 + -81x4 -6561 + 8748x + -4374x2 + 972x3 + -81x4 = -8748x + 8748x + 4374x2 + -4374x2 + -972x3 + 972x3 + 81x4 + -81x4 Combine like terms: -8748x + 8748x = 0 -6561 + 8748x + -4374x2 + 972x3 + -81x4 = 0 + 4374x2 + -4374x2 + -972x3 + 972x3 + 81x4 + -81x4 -6561 + 8748x + -4374x2 + 972x3 + -81x4 = 4374x2 + -4374x2 + -972x3 + 972x3 + 81x4 + -81x4 Combine like terms: 4374x2 + -4374x2 = 0 -6561 + 8748x + -4374x2 + 972x3 + -81x4 = 0 + -972x3 + 972x3 + 81x4 + -81x4 -6561 + 8748x + -4374x2 + 972x3 + -81x4 = -972x3 + 972x3 + 81x4 + -81x4 Combine like terms: -972x3 + 972x3 = 0 -6561 + 8748x + -4374x2 + 972x3 + -81x4 = 0 + 81x4 + -81x4 -6561 + 8748x + -4374x2 + 972x3 + -81x4 = 81x4 + -81x4 Combine like terms: 81x4 + -81x4 = 0 -6561 + 8748x + -4374x2 + 972x3 + -81x4 = 0 Factor out the Greatest Common Factor (GCF), '81'. 81(-81 + 108x + -54x2 + 12x3 + -1x4) = 0 Ignore the factor 81.Subproblem 1
Set the factor '(-81 + 108x + -54x2 + 12x3 + -1x4)' equal to zero and attempt to solve: Simplifying -81 + 108x + -54x2 + 12x3 + -1x4 = 0 Solving -81 + 108x + -54x2 + 12x3 + -1x4 = 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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