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Simplifying 0 = 36x3 + 8x Reorder the terms: 0 = 8x + 36x3 Solving 0 = 8x + 36x3 Solving for variable 'x'. Remove the zero: -8x + -36x3 = 8x + 36x3 + -8x + -36x3 Reorder the terms: -8x + -36x3 = 8x + -8x + 36x3 + -36x3 Combine like terms: 8x + -8x = 0 -8x + -36x3 = 0 + 36x3 + -36x3 -8x + -36x3 = 36x3 + -36x3 Combine like terms: 36x3 + -36x3 = 0 -8x + -36x3 = 0 Factor out the Greatest Common Factor (GCF), '-4x'. -4x(2 + 9x2) = 0 Ignore the factor -4.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 '(2 + 9x2)' equal to zero and attempt to solve: Simplifying 2 + 9x2 = 0 Solving 2 + 9x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 9x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9x2 = 0 + -2 9x2 = 0 + -2 Combine like terms: 0 + -2 = -2 9x2 = -2 Divide each side by '9'. x2 = -0.2222222222 Simplifying x2 = -0.2222222222 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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