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Simplifying X2 + 3X = -2 Reorder the terms: 3X + X2 = -2 Solving 3X + X2 = -2 Solving for variable 'X'. Reorder the terms: 2 + 3X + X2 = -2 + 2 Combine like terms: -2 + 2 = 0 2 + 3X + X2 = 0 Factor a trinomial. (2 + X)(1 + X) = 0Subproblem 1
Set the factor '(2 + X)' equal to zero and attempt to solve: Simplifying 2 + X = 0 Solving 2 + X = 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 + X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + X = 0 + -2 X = 0 + -2 Combine like terms: 0 + -2 = -2 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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