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Simplifying 5x + -2x(x + -11) = -14 Reorder the terms: 5x + -2x(-11 + x) = -14 5x + (-11 * -2x + x * -2x) = -14 5x + (22x + -2x2) = -14 Combine like terms: 5x + 22x = 27x 27x + -2x2 = -14 Solving 27x + -2x2 = -14 Solving for variable 'x'. Reorder the terms: 14 + 27x + -2x2 = -14 + 14 Combine like terms: -14 + 14 = 0 14 + 27x + -2x2 = 0 Factor a trinomial. (14 + -1x)(1 + 2x) = 0Subproblem 1
Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Subproblem 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 = {14, -0.5}
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