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Simplifying x4 + -2x2 + 2 = 2 Reorder the terms: 2 + -2x2 + x4 = 2 Add '-2' to each side of the equation. 2 + -2x2 + -2 + x4 = 2 + -2 Reorder the terms: 2 + -2 + -2x2 + x4 = 2 + -2 Combine like terms: 2 + -2 = 0 0 + -2x2 + x4 = 2 + -2 -2x2 + x4 = 2 + -2 Combine like terms: 2 + -2 = 0 -2x2 + x4 = 0 Solving -2x2 + x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-2 + x2) = 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 '(-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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