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Simplifying 4x3 + 20x3 + 24x = 0 Reorder the terms: 24x + 4x3 + 20x3 = 0 Combine like terms: 4x3 + 20x3 = 24x3 24x + 24x3 = 0 Solving 24x + 24x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '24x'. 24x(1 + x2) = 0 Ignore the factor 24.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 + x2)' equal to zero and attempt to solve: Simplifying 1 + x2 = 0 Solving 1 + x2 = 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 + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x2 = 0 + -1 x2 = 0 + -1 Combine like terms: 0 + -1 = -1 x2 = -1 Simplifying x2 = -1 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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