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Simplifying x4 + 9x2 + 18x2 = 0 Reorder the terms: 9x2 + 18x2 + x4 = 0 Combine like terms: 9x2 + 18x2 = 27x2 27x2 + x4 = 0 Solving 27x2 + x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(27 + x2) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(27 + x2)' equal to zero and attempt to solve: Simplifying 27 + x2 = 0 Solving 27 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + x2 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + x2 = 0 + -27 x2 = 0 + -27 Combine like terms: 0 + -27 = -27 x2 = -27 Simplifying x2 = -27 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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