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Simplifying x3 + 13x = 10x Reorder the terms: 13x + x3 = 10x Solving 13x + x3 = 10x Solving for variable 'x'. Reorder the terms: 13x + -10x + x3 = 10x + -10x Combine like terms: 13x + -10x = 3x 3x + x3 = 10x + -10x Combine like terms: 10x + -10x = 0 3x + x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(3 + 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 '(3 + x2)' equal to zero and attempt to solve: Simplifying 3 + x2 = 0 Solving 3 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x2 = 0 + -3 x2 = 0 + -3 Combine like terms: 0 + -3 = -3 x2 = -3 Simplifying x2 = -3 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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