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Simplifying x5 + 20x3 + 100x = 0 Reorder the terms: 100x + 20x3 + x5 = 0 Solving 100x + 20x3 + x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(100 + 20x2 + x4) = 0 Factor a trinomial. x((10 + x2)(10 + x2)) = 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 '(10 + x2)' equal to zero and attempt to solve: Simplifying 10 + x2 = 0 Solving 10 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x2 = 0 + -10 x2 = 0 + -10 Combine like terms: 0 + -10 = -10 x2 = -10 Simplifying x2 = -10 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 '(10 + x2)' equal to zero and attempt to solve: Simplifying 10 + x2 = 0 Solving 10 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x2 = 0 + -10 x2 = 0 + -10 Combine like terms: 0 + -10 = -10 x2 = -10 Simplifying x2 = -10 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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