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Simplifying -1X4 + 6X2 = 0 Reorder the terms: 6X2 + -1X4 = 0 Solving 6X2 + -1X4 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X2'. X2(6 + -1X2) = 0Subproblem 1
Set the factor 'X2' equal to zero and attempt to solve: Simplifying X2 = 0 Solving X2 = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X2 = 0 Take the square root of each side: X = {0}Subproblem 2
Set the factor '(6 + -1X2)' equal to zero and attempt to solve: Simplifying 6 + -1X2 = 0 Solving 6 + -1X2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1X2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1X2 = 0 + -6 -1X2 = 0 + -6 Combine like terms: 0 + -6 = -6 -1X2 = -6 Divide each side by '-1'. X2 = 6 Simplifying X2 = 6 Take the square root of each side: X = {-2.449489743, 2.449489743}Solution
X = {0, -2.449489743, 2.449489743}
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