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Simplifying 625x * x * x * x = (x + -9)(x + -9)(x + -9)(x + -9) Multiply x * x 625x2 * x * x = (x + -9)(x + -9)(x + -9)(x + -9) Multiply x2 * x 625x3 * x = (x + -9)(x + -9)(x + -9)(x + -9) Multiply x3 * x 625x4 = (x + -9)(x + -9)(x + -9)(x + -9) Reorder the terms: 625x4 = (-9 + x)(x + -9)(x + -9)(x + -9) Reorder the terms: 625x4 = (-9 + x)(-9 + x)(x + -9)(x + -9) Reorder the terms: 625x4 = (-9 + x)(-9 + x)(-9 + x)(x + -9) Reorder the terms: 625x4 = (-9 + x)(-9 + x)(-9 + x)(-9 + x) Multiply (-9 + x) * (-9 + x) 625x4 = (-9(-9 + x) + x(-9 + x))(-9 + x)(-9 + x) 625x4 = ((-9 * -9 + x * -9) + x(-9 + x))(-9 + x)(-9 + x) 625x4 = ((81 + -9x) + x(-9 + x))(-9 + x)(-9 + x) 625x4 = (81 + -9x + (-9 * x + x * x))(-9 + x)(-9 + x) 625x4 = (81 + -9x + (-9x + x2))(-9 + x)(-9 + x) Combine like terms: -9x + -9x = -18x 625x4 = (81 + -18x + x2)(-9 + x)(-9 + x) Multiply (81 + -18x + x2) * (-9 + x) 625x4 = (81(-9 + x) + -18x * (-9 + x) + x2(-9 + x))(-9 + x) 625x4 = ((-9 * 81 + x * 81) + -18x * (-9 + x) + x2(-9 + x))(-9 + x) 625x4 = ((-729 + 81x) + -18x * (-9 + x) + x2(-9 + x))(-9 + x) 625x4 = (-729 + 81x + (-9 * -18x + x * -18x) + x2(-9 + x))(-9 + x) 625x4 = (-729 + 81x + (162x + -18x2) + x2(-9 + x))(-9 + x) 625x4 = (-729 + 81x + 162x + -18x2 + (-9 * x2 + x * x2))(-9 + x) 625x4 = (-729 + 81x + 162x + -18x2 + (-9x2 + x3))(-9 + x) Combine like terms: 81x + 162x = 243x 625x4 = (-729 + 243x + -18x2 + -9x2 + x3)(-9 + x) Combine like terms: -18x2 + -9x2 = -27x2 625x4 = (-729 + 243x + -27x2 + x3)(-9 + x) Multiply (-729 + 243x + -27x2 + x3) * (-9 + x) 625x4 = (-729(-9 + x) + 243x * (-9 + x) + -27x2 * (-9 + x) + x3(-9 + x)) 625x4 = ((-9 * -729 + x * -729) + 243x * (-9 + x) + -27x2 * (-9 + x) + x3(-9 + x)) 625x4 = ((6561 + -729x) + 243x * (-9 + x) + -27x2 * (-9 + x) + x3(-9 + x)) 625x4 = (6561 + -729x + (-9 * 243x + x * 243x) + -27x2 * (-9 + x) + x3(-9 + x)) 625x4 = (6561 + -729x + (-2187x + 243x2) + -27x2 * (-9 + x) + x3(-9 + x)) 625x4 = (6561 + -729x + -2187x + 243x2 + (-9 * -27x2 + x * -27x2) + x3(-9 + x)) 625x4 = (6561 + -729x + -2187x + 243x2 + (243x2 + -27x3) + x3(-9 + x)) 625x4 = (6561 + -729x + -2187x + 243x2 + 243x2 + -27x3 + (-9 * x3 + x * x3)) 625x4 = (6561 + -729x + -2187x + 243x2 + 243x2 + -27x3 + (-9x3 + x4)) Combine like terms: -729x + -2187x = -2916x 625x4 = (6561 + -2916x + 243x2 + 243x2 + -27x3 + -9x3 + x4) Combine like terms: 243x2 + 243x2 = 486x2 625x4 = (6561 + -2916x + 486x2 + -27x3 + -9x3 + x4) Combine like terms: -27x3 + -9x3 = -36x3 625x4 = (6561 + -2916x + 486x2 + -36x3 + x4) Solving 625x4 = 6561 + -2916x + 486x2 + -36x3 + x4 Solving for variable 'x'. Reorder the terms: -6561 + 2916x + -486x2 + 36x3 + 625x4 + -1x4 = 6561 + -2916x + 486x2 + -36x3 + x4 + -6561 + 2916x + -486x2 + 36x3 + -1x4 Combine like terms: 625x4 + -1x4 = 624x4 -6561 + 2916x + -486x2 + 36x3 + 624x4 = 6561 + -2916x + 486x2 + -36x3 + x4 + -6561 + 2916x + -486x2 + 36x3 + -1x4 Reorder the terms: -6561 + 2916x + -486x2 + 36x3 + 624x4 = 6561 + -6561 + -2916x + 2916x + 486x2 + -486x2 + -36x3 + 36x3 + x4 + -1x4 Combine like terms: 6561 + -6561 = 0 -6561 + 2916x + -486x2 + 36x3 + 624x4 = 0 + -2916x + 2916x + 486x2 + -486x2 + -36x3 + 36x3 + x4 + -1x4 -6561 + 2916x + -486x2 + 36x3 + 624x4 = -2916x + 2916x + 486x2 + -486x2 + -36x3 + 36x3 + x4 + -1x4 Combine like terms: -2916x + 2916x = 0 -6561 + 2916x + -486x2 + 36x3 + 624x4 = 0 + 486x2 + -486x2 + -36x3 + 36x3 + x4 + -1x4 -6561 + 2916x + -486x2 + 36x3 + 624x4 = 486x2 + -486x2 + -36x3 + 36x3 + x4 + -1x4 Combine like terms: 486x2 + -486x2 = 0 -6561 + 2916x + -486x2 + 36x3 + 624x4 = 0 + -36x3 + 36x3 + x4 + -1x4 -6561 + 2916x + -486x2 + 36x3 + 624x4 = -36x3 + 36x3 + x4 + -1x4 Combine like terms: -36x3 + 36x3 = 0 -6561 + 2916x + -486x2 + 36x3 + 624x4 = 0 + x4 + -1x4 -6561 + 2916x + -486x2 + 36x3 + 624x4 = x4 + -1x4 Combine like terms: x4 + -1x4 = 0 -6561 + 2916x + -486x2 + 36x3 + 624x4 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-2187 + 972x + -162x2 + 12x3 + 208x4) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2187 + 972x + -162x2 + 12x3 + 208x4)' equal to zero and attempt to solve: Simplifying -2187 + 972x + -162x2 + 12x3 + 208x4 = 0 Solving -2187 + 972x + -162x2 + 12x3 + 208x4 = 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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