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Simplifying 6x4 + -6x2 = 20x2 Reorder the terms: -6x2 + 6x4 = 20x2 Solving -6x2 + 6x4 = 20x2 Solving for variable 'x'. Reorder the terms: -6x2 + -20x2 + 6x4 = 20x2 + -20x2 Combine like terms: -6x2 + -20x2 = -26x2 -26x2 + 6x4 = 20x2 + -20x2 Combine like terms: 20x2 + -20x2 = 0 -26x2 + 6x4 = 0 Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(-13 + 3x2) = 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 '(-13 + 3x2)' equal to zero and attempt to solve: Simplifying -13 + 3x2 = 0 Solving -13 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 3x2 = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 3x2 = 0 + 13 3x2 = 0 + 13 Combine like terms: 0 + 13 = 13 3x2 = 13 Divide each side by '3'. x2 = 4.333333333 Simplifying x2 = 4.333333333 Take the square root of each side: x = {-2.081665999, 2.081665999}Solution
x = {0, -2.081665999, 2.081665999}
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