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Simplifying 0 = 24x3 + -120x Reorder the terms: 0 = -120x + 24x3 Solving 0 = -120x + 24x3 Solving for variable 'x'. Remove the zero: 120x + -24x3 = -120x + 24x3 + 120x + -24x3 Reorder the terms: 120x + -24x3 = -120x + 120x + 24x3 + -24x3 Combine like terms: -120x + 120x = 0 120x + -24x3 = 0 + 24x3 + -24x3 120x + -24x3 = 24x3 + -24x3 Combine like terms: 24x3 + -24x3 = 0 120x + -24x3 = 0 Factor out the Greatest Common Factor (GCF), '24x'. 24x(5 + -1x2) = 0 Ignore the factor 24.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 '(5 + -1x2)' equal to zero and attempt to solve: Simplifying 5 + -1x2 = 0 Solving 5 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x2 = 0 + -5 -1x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1x2 = -5 Divide each side by '-1'. x2 = 5 Simplifying x2 = 5 Take the square root of each side: x = {-2.236067978, 2.236067978}Solution
x = {0, -2.236067978, 2.236067978}
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