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Simplifying (x5 + x3 + x)(x2 + -1) = 0 Reorder the terms: (x + x3 + x5)(x2 + -1) = 0 Reorder the terms: (x + x3 + x5)(-1 + x2) = 0 Multiply (x + x3 + x5) * (-1 + x2) (x(-1 + x2) + x3(-1 + x2) + x5(-1 + x2)) = 0 ((-1 * x + x2 * x) + x3(-1 + x2) + x5(-1 + x2)) = 0 ((-1x + x3) + x3(-1 + x2) + x5(-1 + x2)) = 0 (-1x + x3 + (-1 * x3 + x2 * x3) + x5(-1 + x2)) = 0 (-1x + x3 + (-1x3 + x5) + x5(-1 + x2)) = 0 (-1x + x3 + -1x3 + x5 + (-1 * x5 + x2 * x5)) = 0 (-1x + x3 + -1x3 + x5 + (-1x5 + x7)) = 0 Combine like terms: x3 + -1x3 = 0 (-1x + 0 + x5 + -1x5 + x7) = 0 (-1x + x5 + -1x5 + x7) = 0 Combine like terms: x5 + -1x5 = 0 (-1x + 0 + x7) = 0 (-1x + x7) = 0 Solving -1x + x7 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-1 + x6) = 0 Factor a difference between two squares. x((1 + x3)(-1 + 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 '(1 + x3)' equal to zero and attempt to solve: Simplifying 1 + x3 = 0 Solving 1 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x3 = 0 + -1 x3 = 0 + -1 Combine like terms: 0 + -1 = -1 x3 = -1 Simplifying x3 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-1 + x3)' equal to zero and attempt to solve: Simplifying -1 + x3 = 0 Solving -1 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x3 = 0 + 1 x3 = 0 + 1 Combine like terms: 0 + 1 = 1 x3 = 1 Simplifying x3 = 1 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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