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Simplifying 0 = (-3x + 2x5 + 1)(x3 + -4x2 + x) Reorder the terms: 0 = (1 + -3x + 2x5)(x3 + -4x2 + x) Reorder the terms: 0 = (1 + -3x + 2x5)(x + -4x2 + x3) Multiply (1 + -3x + 2x5) * (x + -4x2 + x3) 0 = (1(x + -4x2 + x3) + -3x * (x + -4x2 + x3) + 2x5 * (x + -4x2 + x3)) 0 = ((x * 1 + -4x2 * 1 + x3 * 1) + -3x * (x + -4x2 + x3) + 2x5 * (x + -4x2 + x3)) 0 = ((1x + -4x2 + 1x3) + -3x * (x + -4x2 + x3) + 2x5 * (x + -4x2 + x3)) 0 = (1x + -4x2 + 1x3 + (x * -3x + -4x2 * -3x + x3 * -3x) + 2x5 * (x + -4x2 + x3)) 0 = (1x + -4x2 + 1x3 + (-3x2 + 12x3 + -3x4) + 2x5 * (x + -4x2 + x3)) 0 = (1x + -4x2 + 1x3 + -3x2 + 12x3 + -3x4 + (x * 2x5 + -4x2 * 2x5 + x3 * 2x5)) 0 = (1x + -4x2 + 1x3 + -3x2 + 12x3 + -3x4 + (2x6 + -8x7 + 2x8)) Reorder the terms: 0 = (1x + -4x2 + -3x2 + 1x3 + 12x3 + -3x4 + 2x6 + -8x7 + 2x8) Combine like terms: -4x2 + -3x2 = -7x2 0 = (1x + -7x2 + 1x3 + 12x3 + -3x4 + 2x6 + -8x7 + 2x8) Combine like terms: 1x3 + 12x3 = 13x3 0 = (1x + -7x2 + 13x3 + -3x4 + 2x6 + -8x7 + 2x8) Solving 0 = 1x + -7x2 + 13x3 + -3x4 + 2x6 + -8x7 + 2x8 Solving for variable 'x'. Remove the zero: -1x + 7x2 + -13x3 + 3x4 + -2x6 + 8x7 + -2x8 = 1x + -7x2 + 13x3 + -3x4 + 2x6 + -8x7 + 2x8 + -1x + 7x2 + -13x3 + 3x4 + -2x6 + 8x7 + -2x8 Reorder the terms: -1x + 7x2 + -13x3 + 3x4 + -2x6 + 8x7 + -2x8 = 1x + -1x + -7x2 + 7x2 + 13x3 + -13x3 + -3x4 + 3x4 + 2x6 + -2x6 + -8x7 + 8x7 + 2x8 + -2x8 Combine like terms: 1x + -1x = 0 -1x + 7x2 + -13x3 + 3x4 + -2x6 + 8x7 + -2x8 = 0 + -7x2 + 7x2 + 13x3 + -13x3 + -3x4 + 3x4 + 2x6 + -2x6 + -8x7 + 8x7 + 2x8 + -2x8 -1x + 7x2 + -13x3 + 3x4 + -2x6 + 8x7 + -2x8 = -7x2 + 7x2 + 13x3 + -13x3 + -3x4 + 3x4 + 2x6 + -2x6 + -8x7 + 8x7 + 2x8 + -2x8 Combine like terms: -7x2 + 7x2 = 0 -1x + 7x2 + -13x3 + 3x4 + -2x6 + 8x7 + -2x8 = 0 + 13x3 + -13x3 + -3x4 + 3x4 + 2x6 + -2x6 + -8x7 + 8x7 + 2x8 + -2x8 -1x + 7x2 + -13x3 + 3x4 + -2x6 + 8x7 + -2x8 = 13x3 + -13x3 + -3x4 + 3x4 + 2x6 + -2x6 + -8x7 + 8x7 + 2x8 + -2x8 Combine like terms: 13x3 + -13x3 = 0 -1x + 7x2 + -13x3 + 3x4 + -2x6 + 8x7 + -2x8 = 0 + -3x4 + 3x4 + 2x6 + -2x6 + -8x7 + 8x7 + 2x8 + -2x8 -1x + 7x2 + -13x3 + 3x4 + -2x6 + 8x7 + -2x8 = -3x4 + 3x4 + 2x6 + -2x6 + -8x7 + 8x7 + 2x8 + -2x8 Combine like terms: -3x4 + 3x4 = 0 -1x + 7x2 + -13x3 + 3x4 + -2x6 + 8x7 + -2x8 = 0 + 2x6 + -2x6 + -8x7 + 8x7 + 2x8 + -2x8 -1x + 7x2 + -13x3 + 3x4 + -2x6 + 8x7 + -2x8 = 2x6 + -2x6 + -8x7 + 8x7 + 2x8 + -2x8 Combine like terms: 2x6 + -2x6 = 0 -1x + 7x2 + -13x3 + 3x4 + -2x6 + 8x7 + -2x8 = 0 + -8x7 + 8x7 + 2x8 + -2x8 -1x + 7x2 + -13x3 + 3x4 + -2x6 + 8x7 + -2x8 = -8x7 + 8x7 + 2x8 + -2x8 Combine like terms: -8x7 + 8x7 = 0 -1x + 7x2 + -13x3 + 3x4 + -2x6 + 8x7 + -2x8 = 0 + 2x8 + -2x8 -1x + 7x2 + -13x3 + 3x4 + -2x6 + 8x7 + -2x8 = 2x8 + -2x8 Combine like terms: 2x8 + -2x8 = 0 -1x + 7x2 + -13x3 + 3x4 + -2x6 + 8x7 + -2x8 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1 + 7x + -13x2 + 3x3 + -2x5 + 8x6 + -2x7) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1 + 7x + -13x2 + 3x3 + -2x5 + 8x6 + -2x7)' equal to zero and attempt to solve: Simplifying -1 + 7x + -13x2 + 3x3 + -2x5 + 8x6 + -2x7 = 0 Solving -1 + 7x + -13x2 + 3x3 + -2x5 + 8x6 + -2x7 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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