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Simplifying -1x3 + 27x = 0 Reorder the terms: 27x + -1x3 = 0 Solving 27x + -1x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(27 + -1x2) = 0Subproblem 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 '(27 + -1x2)' equal to zero and attempt to solve: Simplifying 27 + -1x2 = 0 Solving 27 + -1x2 = 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 + -1x2 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1x2 = 0 + -27 -1x2 = 0 + -27 Combine like terms: 0 + -27 = -27 -1x2 = -27 Divide each side by '-1'. x2 = 27 Simplifying x2 = 27 Take the square root of each side: x = {-5.196152423, 5.196152423}Solution
x = {0, -5.196152423, 5.196152423}
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