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Simplifying x(2x + 13) + 11 = 0 Reorder the terms: x(13 + 2x) + 11 = 0 (13 * x + 2x * x) + 11 = 0 (13x + 2x2) + 11 = 0 Reorder the terms: 11 + 13x + 2x2 = 0 Solving 11 + 13x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (11 + 2x)(1 + x) = 0Subproblem 1
Set the factor '(11 + 2x)' equal to zero and attempt to solve: Simplifying 11 + 2x = 0 Solving 11 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 0 + -11 2x = 0 + -11 Combine like terms: 0 + -11 = -11 2x = -11 Divide each side by '2'. x = -5.5 Simplifying x = -5.5Subproblem 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 = {-5.5, -1}
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