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Simplifying 5x2 = -16x + -11 Reorder the terms: 5x2 = -11 + -16x Solving 5x2 = -11 + -16x Solving for variable 'x'. Reorder the terms: 11 + 16x + 5x2 = -11 + -16x + 11 + 16x Reorder the terms: 11 + 16x + 5x2 = -11 + 11 + -16x + 16x Combine like terms: -11 + 11 = 0 11 + 16x + 5x2 = 0 + -16x + 16x 11 + 16x + 5x2 = -16x + 16x Combine like terms: -16x + 16x = 0 11 + 16x + 5x2 = 0 Factor a trinomial. (11 + 5x)(1 + x) = 0Subproblem 1
Set the factor '(11 + 5x)' equal to zero and attempt to solve: Simplifying 11 + 5x = 0 Solving 11 + 5x = 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 + 5x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 5x = 0 + -11 5x = 0 + -11 Combine like terms: 0 + -11 = -11 5x = -11 Divide each side by '5'. x = -2.2 Simplifying x = -2.2Subproblem 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 = {-2.2, -1}
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