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Simplifying 2X4 + -12X2 = 0 Reorder the terms: -12X2 + 2X4 = 0 Solving -12X2 + 2X4 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2X2'. 2X2(-6 + X2) = 0 Ignore the factor 2.Subproblem 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 + X2)' equal to zero and attempt to solve: Simplifying -6 + X2 = 0 Solving -6 + X2 = 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 + X2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + X2 = 0 + 6 X2 = 0 + 6 Combine like terms: 0 + 6 = 6 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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