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Simplifying 4 = 2X2 + -2X Reorder the terms: 4 = -2X + 2X2 Solving 4 = -2X + 2X2 Solving for variable 'X'. Reorder the terms: 4 + 2X + -2X2 = -2X + 2X + 2X2 + -2X2 Combine like terms: -2X + 2X = 0 4 + 2X + -2X2 = 0 + 2X2 + -2X2 4 + 2X + -2X2 = 2X2 + -2X2 Combine like terms: 2X2 + -2X2 = 0 4 + 2X + -2X2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + X + -1X2) = 0 Factor a trinomial. 2((2 + -1X)(1 + X)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -1X)' equal to zero and attempt to solve: Simplifying 2 + -1X = 0 Solving 2 + -1X = 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 + -1X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1X = 0 + -2 -1X = 0 + -2 Combine like terms: 0 + -2 = -2 -1X = -2 Divide each side by '-1'. X = 2 Simplifying X = 2Subproblem 2
Set the factor '(1 + X)' equal to zero and attempt to solve: Simplifying 1 + X = 0 Solving 1 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + X = 0 + -1 X = 0 + -1 Combine like terms: 0 + -1 = -1 X = -1 Simplifying X = -1Solution
X = {2, -1}
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