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Simplifying X2 + x = 2x2 Solving X2 + x = 2x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1x' to each side of the equation. X2 + x + -1x = -1x + 2x2 Combine like terms: x + -1x = 0 X2 + 0 = -1x + 2x2 X2 = -1x + 2x2 Simplifying X2 = -1x + 2x2 Reorder the terms: X2 + x + -2x2 = -1x + x + 2x2 + -2x2 Combine like terms: -1x + x = 0 X2 + x + -2x2 = 0 + 2x2 + -2x2 X2 + x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 X2 + x + -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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