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Simplifying X2 + -2x2 + 1 = 0 Reorder the terms: 1 + X2 + -2x2 = 0 Solving 1 + X2 + -2x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + X2 + -1 + -2x2 = 0 + -1 Reorder the terms: 1 + -1 + X2 + -2x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + X2 + -2x2 = 0 + -1 X2 + -2x2 = 0 + -1 Combine like terms: 0 + -1 = -1 X2 + -2x2 = -1 Add '2x2' to each side of the equation. X2 + -2x2 + 2x2 = -1 + 2x2 Combine like terms: -2x2 + 2x2 = 0 X2 + 0 = -1 + 2x2 X2 = -1 + 2x2 Simplifying X2 = -1 + 2x2 Reorder the terms: 1 + X2 + -2x2 = -1 + 2x2 + 1 + -2x2 Reorder the terms: 1 + X2 + -2x2 = -1 + 1 + 2x2 + -2x2 Combine like terms: -1 + 1 = 0 1 + X2 + -2x2 = 0 + 2x2 + -2x2 1 + X2 + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 1 + X2 + -2x2 = 0 Factor a trinomial. (X + -1x)(X + 2x) = 0Subproblem 1
Set the factor '(X + -1x)' equal to zero and attempt to solve: Simplifying X + -1x = 0 Solving X + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add 'x' to each side of the equation. X + -1x + x = 0 + x Combine like terms: -1x + x = 0 X + 0 = 0 + x X = 0 + x Remove the zero: X = x Simplifying X = xSubproblem 2
Set the factor '(X + 2x)' equal to zero and attempt to solve: Simplifying X + 2x = 0 Solving X + 2x = 0 Move all terms containing X to the left, all other terms to the right. Add '-2x' to each side of the equation. X + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 X + 0 = 0 + -2x X = 0 + -2x Remove the zero: X = -2x Simplifying X = -2xSolution
X = {x, -2x}
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