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Simplifying 2x9 + 6x5 + -20x = 0 Reorder the terms: -20x + 6x5 + 2x9 = 0 Solving -20x + 6x5 + 2x9 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-10 + 3x4 + x8) = 0 Factor a trinomial. 2x((-5 + -1x4)(2 + -1x4)) = 0 Ignore the factor 2.Subproblem 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 + -1x4)' equal to zero and attempt to solve: Simplifying -5 + -1x4 = 0 Solving -5 + -1x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x4 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x4 = 0 + 5 -1x4 = 0 + 5 Combine like terms: 0 + 5 = 5 -1x4 = 5 Divide each side by '-1'. x4 = -5 Simplifying x4 = -5 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 + -1x4)' equal to zero and attempt to solve: Simplifying 2 + -1x4 = 0 Solving 2 + -1x4 = 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 + -1x4 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x4 = 0 + -2 -1x4 = 0 + -2 Combine like terms: 0 + -2 = -2 -1x4 = -2 Divide each side by '-1'. x4 = 2 Simplifying x4 = 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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