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Simplifying 21x3 = 13x3 + -2x Reorder the terms: 21x3 = -2x + 13x3 Solving 21x3 = -2x + 13x3 Solving for variable 'x'. Reorder the terms: 2x + 21x3 + -13x3 = -2x + 13x3 + 2x + -13x3 Combine like terms: 21x3 + -13x3 = 8x3 2x + 8x3 = -2x + 13x3 + 2x + -13x3 Reorder the terms: 2x + 8x3 = -2x + 2x + 13x3 + -13x3 Combine like terms: -2x + 2x = 0 2x + 8x3 = 0 + 13x3 + -13x3 2x + 8x3 = 13x3 + -13x3 Combine like terms: 13x3 + -13x3 = 0 2x + 8x3 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(1 + 4x2) = 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 '(1 + 4x2)' equal to zero and attempt to solve: Simplifying 1 + 4x2 = 0 Solving 1 + 4x2 = 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 + 4x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x2 = 0 + -1 4x2 = 0 + -1 Combine like terms: 0 + -1 = -1 4x2 = -1 Divide each side by '4'. x2 = -0.25 Simplifying x2 = -0.25 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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