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Simplifying 32X + -16X3 = 0 Solving 32X + -16X3 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '16X'. 16X(2 + -1X2) = 0 Ignore the factor 16.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 + -1X2)' equal to zero and attempt to solve: Simplifying 2 + -1X2 = 0 Solving 2 + -1X2 = 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 + -1X2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1X2 = 0 + -2 -1X2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1X2 = -2 Divide each side by '-1'. 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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