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Simplifying 625x * x * x * x = (x + -3)(x + -3)(x + -3)(x + -3) Multiply x * x 625x2 * x * x = (x + -3)(x + -3)(x + -3)(x + -3) Multiply x2 * x 625x3 * x = (x + -3)(x + -3)(x + -3)(x + -3) Multiply x3 * x 625x4 = (x + -3)(x + -3)(x + -3)(x + -3) Reorder the terms: 625x4 = (-3 + x)(x + -3)(x + -3)(x + -3) Reorder the terms: 625x4 = (-3 + x)(-3 + x)(x + -3)(x + -3) Reorder the terms: 625x4 = (-3 + x)(-3 + x)(-3 + x)(x + -3) Reorder the terms: 625x4 = (-3 + x)(-3 + x)(-3 + x)(-3 + x) Multiply (-3 + x) * (-3 + x) 625x4 = (-3(-3 + x) + x(-3 + x))(-3 + x)(-3 + x) 625x4 = ((-3 * -3 + x * -3) + x(-3 + x))(-3 + x)(-3 + x) 625x4 = ((9 + -3x) + x(-3 + x))(-3 + x)(-3 + x) 625x4 = (9 + -3x + (-3 * x + x * x))(-3 + x)(-3 + x) 625x4 = (9 + -3x + (-3x + x2))(-3 + x)(-3 + x) Combine like terms: -3x + -3x = -6x 625x4 = (9 + -6x + x2)(-3 + x)(-3 + x) Multiply (9 + -6x + x2) * (-3 + x) 625x4 = (9(-3 + x) + -6x * (-3 + x) + x2(-3 + x))(-3 + x) 625x4 = ((-3 * 9 + x * 9) + -6x * (-3 + x) + x2(-3 + x))(-3 + x) 625x4 = ((-27 + 9x) + -6x * (-3 + x) + x2(-3 + x))(-3 + x) 625x4 = (-27 + 9x + (-3 * -6x + x * -6x) + x2(-3 + x))(-3 + x) 625x4 = (-27 + 9x + (18x + -6x2) + x2(-3 + x))(-3 + x) 625x4 = (-27 + 9x + 18x + -6x2 + (-3 * x2 + x * x2))(-3 + x) 625x4 = (-27 + 9x + 18x + -6x2 + (-3x2 + x3))(-3 + x) Combine like terms: 9x + 18x = 27x 625x4 = (-27 + 27x + -6x2 + -3x2 + x3)(-3 + x) Combine like terms: -6x2 + -3x2 = -9x2 625x4 = (-27 + 27x + -9x2 + x3)(-3 + x) Multiply (-27 + 27x + -9x2 + x3) * (-3 + x) 625x4 = (-27(-3 + x) + 27x * (-3 + x) + -9x2 * (-3 + x) + x3(-3 + x)) 625x4 = ((-3 * -27 + x * -27) + 27x * (-3 + x) + -9x2 * (-3 + x) + x3(-3 + x)) 625x4 = ((81 + -27x) + 27x * (-3 + x) + -9x2 * (-3 + x) + x3(-3 + x)) 625x4 = (81 + -27x + (-3 * 27x + x * 27x) + -9x2 * (-3 + x) + x3(-3 + x)) 625x4 = (81 + -27x + (-81x + 27x2) + -9x2 * (-3 + x) + x3(-3 + x)) 625x4 = (81 + -27x + -81x + 27x2 + (-3 * -9x2 + x * -9x2) + x3(-3 + x)) 625x4 = (81 + -27x + -81x + 27x2 + (27x2 + -9x3) + x3(-3 + x)) 625x4 = (81 + -27x + -81x + 27x2 + 27x2 + -9x3 + (-3 * x3 + x * x3)) 625x4 = (81 + -27x + -81x + 27x2 + 27x2 + -9x3 + (-3x3 + x4)) Combine like terms: -27x + -81x = -108x 625x4 = (81 + -108x + 27x2 + 27x2 + -9x3 + -3x3 + x4) Combine like terms: 27x2 + 27x2 = 54x2 625x4 = (81 + -108x + 54x2 + -9x3 + -3x3 + x4) Combine like terms: -9x3 + -3x3 = -12x3 625x4 = (81 + -108x + 54x2 + -12x3 + x4) Solving 625x4 = 81 + -108x + 54x2 + -12x3 + x4 Solving for variable 'x'. Reorder the terms: -81 + 108x + -54x2 + 12x3 + 625x4 + -1x4 = 81 + -108x + 54x2 + -12x3 + x4 + -81 + 108x + -54x2 + 12x3 + -1x4 Combine like terms: 625x4 + -1x4 = 624x4 -81 + 108x + -54x2 + 12x3 + 624x4 = 81 + -108x + 54x2 + -12x3 + x4 + -81 + 108x + -54x2 + 12x3 + -1x4 Reorder the terms: -81 + 108x + -54x2 + 12x3 + 624x4 = 81 + -81 + -108x + 108x + 54x2 + -54x2 + -12x3 + 12x3 + x4 + -1x4 Combine like terms: 81 + -81 = 0 -81 + 108x + -54x2 + 12x3 + 624x4 = 0 + -108x + 108x + 54x2 + -54x2 + -12x3 + 12x3 + x4 + -1x4 -81 + 108x + -54x2 + 12x3 + 624x4 = -108x + 108x + 54x2 + -54x2 + -12x3 + 12x3 + x4 + -1x4 Combine like terms: -108x + 108x = 0 -81 + 108x + -54x2 + 12x3 + 624x4 = 0 + 54x2 + -54x2 + -12x3 + 12x3 + x4 + -1x4 -81 + 108x + -54x2 + 12x3 + 624x4 = 54x2 + -54x2 + -12x3 + 12x3 + x4 + -1x4 Combine like terms: 54x2 + -54x2 = 0 -81 + 108x + -54x2 + 12x3 + 624x4 = 0 + -12x3 + 12x3 + x4 + -1x4 -81 + 108x + -54x2 + 12x3 + 624x4 = -12x3 + 12x3 + x4 + -1x4 Combine like terms: -12x3 + 12x3 = 0 -81 + 108x + -54x2 + 12x3 + 624x4 = 0 + x4 + -1x4 -81 + 108x + -54x2 + 12x3 + 624x4 = x4 + -1x4 Combine like terms: x4 + -1x4 = 0 -81 + 108x + -54x2 + 12x3 + 624x4 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-27 + 36x + -18x2 + 4x3 + 208x4) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-27 + 36x + -18x2 + 4x3 + 208x4)' equal to zero and attempt to solve: Simplifying -27 + 36x + -18x2 + 4x3 + 208x4 = 0 Solving -27 + 36x + -18x2 + 4x3 + 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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