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Simplifying 60X(X2 + -2) = 0 Reorder the terms: 60X(-2 + X2) = 0 (-2 * 60X + X2 * 60X) = 0 (-120X + 60X3) = 0 Solving -120X + 60X3 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '60X'. 60X(-2 + X2) = 0 Ignore the factor 60.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 '(-2 + X2)' equal to zero and attempt to solve: Simplifying -2 + X2 = 0 Solving -2 + X2 = 0 Move all terms containing X to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + X2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + X2 = 0 + 2 X2 = 0 + 2 Combine like terms: 0 + 2 = 2 X2 = 2 Simplifying X2 = 2 Take the square root of each side: X = {-1.414213562, 1.414213562}Solution
X = {0, -1.414213562, 1.414213562}
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