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Simplifying 4x3 + -216x = 0 Reorder the terms: -216x + 4x3 = 0 Solving -216x + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(-54 + 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 '(-54 + x2)' equal to zero and attempt to solve: Simplifying -54 + x2 = 0 Solving -54 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + x2 = 0 + 54 Combine like terms: -54 + 54 = 0 0 + x2 = 0 + 54 x2 = 0 + 54 Combine like terms: 0 + 54 = 54 x2 = 54 Simplifying x2 = 54 Take the square root of each side: x = {-7.348469228, 7.348469228}Solution
x = {0, -7.348469228, 7.348469228}
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