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Simplifying (x + 5)(x)(x + -1)(x + -1) + -4x * 2 + 8x = 0 Reorder the terms: (5 + x)(x)(x + -1)(x + -1) + -4x * 2 + 8x = 0 Reorder the terms: (5 + x) * x(-1 + x)(x + -1) + -4x * 2 + 8x = 0 Reorder the terms: (5 + x) * x(-1 + x)(-1 + x) + -4x * 2 + 8x = 0 Reorder the terms for easier multiplication: x(5 + x)(-1 + x)(-1 + x) + -4x * 2 + 8x = 0 Multiply (5 + x) * (-1 + x) x(5(-1 + x) + x(-1 + x))(-1 + x) + -4x * 2 + 8x = 0 x((-1 * 5 + x * 5) + x(-1 + x))(-1 + x) + -4x * 2 + 8x = 0 x((-5 + 5x) + x(-1 + x))(-1 + x) + -4x * 2 + 8x = 0 x(-5 + 5x + (-1 * x + x * x))(-1 + x) + -4x * 2 + 8x = 0 x(-5 + 5x + (-1x + x2))(-1 + x) + -4x * 2 + 8x = 0 Combine like terms: 5x + -1x = 4x x(-5 + 4x + x2)(-1 + x) + -4x * 2 + 8x = 0 Multiply (-5 + 4x + x2) * (-1 + x) x(-5(-1 + x) + 4x * (-1 + x) + x2(-1 + x)) + -4x * 2 + 8x = 0 x((-1 * -5 + x * -5) + 4x * (-1 + x) + x2(-1 + x)) + -4x * 2 + 8x = 0 x((5 + -5x) + 4x * (-1 + x) + x2(-1 + x)) + -4x * 2 + 8x = 0 x(5 + -5x + (-1 * 4x + x * 4x) + x2(-1 + x)) + -4x * 2 + 8x = 0 x(5 + -5x + (-4x + 4x2) + x2(-1 + x)) + -4x * 2 + 8x = 0 x(5 + -5x + -4x + 4x2 + (-1 * x2 + x * x2)) + -4x * 2 + 8x = 0 x(5 + -5x + -4x + 4x2 + (-1x2 + x3)) + -4x * 2 + 8x = 0 Combine like terms: -5x + -4x = -9x x(5 + -9x + 4x2 + -1x2 + x3) + -4x * 2 + 8x = 0 Combine like terms: 4x2 + -1x2 = 3x2 x(5 + -9x + 3x2 + x3) + -4x * 2 + 8x = 0 (5 * x + -9x * x + 3x2 * x + x3 * x) + -4x * 2 + 8x = 0 (5x + -9x2 + 3x3 + x4) + -4x * 2 + 8x = 0 Reorder the terms for easier multiplication: 5x + -9x2 + 3x3 + x4 + -4 * 2x + 8x = 0 Multiply -4 * 2 5x + -9x2 + 3x3 + x4 + -8x + 8x = 0 Reorder the terms: 5x + -8x + 8x + -9x2 + 3x3 + x4 = 0 Combine like terms: 5x + -8x = -3x -3x + 8x + -9x2 + 3x3 + x4 = 0 Combine like terms: -3x + 8x = 5x 5x + -9x2 + 3x3 + x4 = 0 Solving 5x + -9x2 + 3x3 + x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(5 + -9x + 3x2 + x3) = 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 '(5 + -9x + 3x2 + x3)' equal to zero and attempt to solve: Simplifying 5 + -9x + 3x2 + x3 = 0 Solving 5 + -9x + 3x2 + x3 = 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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