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Simplifying 4x3 + -108x = 0 Reorder the terms: -108x + 4x3 = 0 Solving -108x + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(-27 + x2) = 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 '(-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 Take the square root of each side: x = {-5.196152423, 5.196152423}Solution
x = {0, -5.196152423, 5.196152423}
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