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Simplifying 2X2 + 5 = -11X Reorder the terms: 5 + 2X2 = -11X Solving 5 + 2X2 = -11X Solving for variable 'X'. Reorder the terms: 5 + 11X + 2X2 = -11X + 11X Combine like terms: -11X + 11X = 0 5 + 11X + 2X2 = 0 Factor a trinomial. (5 + X)(1 + 2X) = 0Subproblem 1
Set the factor '(5 + X)' equal to zero and attempt to solve: Simplifying 5 + X = 0 Solving 5 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + X = 0 + -5 X = 0 + -5 Combine like terms: 0 + -5 = -5 X = -5 Simplifying X = -5Subproblem 2
Set the factor '(1 + 2X)' equal to zero and attempt to solve: Simplifying 1 + 2X = 0 Solving 1 + 2X = 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 + 2X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2X = 0 + -1 2X = 0 + -1 Combine like terms: 0 + -1 = -1 2X = -1 Divide each side by '2'. X = -0.5 Simplifying X = -0.5Solution
X = {-5, -0.5}
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