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Simplifying -60x3 + 144x = 0 Reorder the terms: 144x + -60x3 = 0 Solving 144x + -60x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12x'. 12x(12 + -5x2) = 0 Ignore the factor 12.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 '(12 + -5x2)' equal to zero and attempt to solve: Simplifying 12 + -5x2 = 0 Solving 12 + -5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5x2 = 0 + -12 -5x2 = 0 + -12 Combine like terms: 0 + -12 = -12 -5x2 = -12 Divide each side by '-5'. x2 = 2.4 Simplifying x2 = 2.4 Take the square root of each side: x = {-1.549193338, 1.549193338}Solution
x = {0, -1.549193338, 1.549193338}
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