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Simplifying F(0) = x3 + 6x Reorder the terms for easier multiplication: 0F = x3 + 6x Anything times zero is zero. 0F = x3 + 6x Reorder the terms: 0 = 6x + x3 Solving 0 = 6x + x3 Solving for variable 'x'. Remove the zero: -6x + -1x3 = 6x + x3 + -6x + -1x3 Reorder the terms: -6x + -1x3 = 6x + -6x + x3 + -1x3 Combine like terms: 6x + -6x = 0 -6x + -1x3 = 0 + x3 + -1x3 -6x + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -6x + -1x3 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(6 + x2) = 0 Ignore the factor -1.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 '(6 + x2)' equal to zero and attempt to solve: Simplifying 6 + x2 = 0 Solving 6 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x2 = 0 + -6 x2 = 0 + -6 Combine like terms: 0 + -6 = -6 x2 = -6 Simplifying x2 = -6 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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