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Simplifying x7 + 2x4 + -8x = 0 Reorder the terms: -8x + 2x4 + x7 = 0 Solving -8x + 2x4 + x7 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-8 + 2x3 + x6) = 0 Factor a trinomial. x((-4 + -1x3)(2 + -1x3)) = 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 '(-4 + -1x3)' equal to zero and attempt to solve: Simplifying -4 + -1x3 = 0 Solving -4 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x3 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x3 = 0 + 4 -1x3 = 0 + 4 Combine like terms: 0 + 4 = 4 -1x3 = 4 Divide each side by '-1'. x3 = -4 Simplifying x3 = -4 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 '(2 + -1x3)' equal to zero and attempt to solve: Simplifying 2 + -1x3 = 0 Solving 2 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x3 = 0 + -2 -1x3 = 0 + -2 Combine like terms: 0 + -2 = -2 -1x3 = -2 Divide each side by '-1'. x3 = 2 Simplifying x3 = 2 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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