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Simplifying -4 = 2x2 + -5x + -11 Reorder the terms: -4 = -11 + -5x + 2x2 Solving -4 = -11 + -5x + 2x2 Solving for variable 'x'. Combine like terms: -4 + 11 = 7 7 + 5x + -2x2 = -11 + -5x + 2x2 + 11 + 5x + -2x2 Reorder the terms: 7 + 5x + -2x2 = -11 + 11 + -5x + 5x + 2x2 + -2x2 Combine like terms: -11 + 11 = 0 7 + 5x + -2x2 = 0 + -5x + 5x + 2x2 + -2x2 7 + 5x + -2x2 = -5x + 5x + 2x2 + -2x2 Combine like terms: -5x + 5x = 0 7 + 5x + -2x2 = 0 + 2x2 + -2x2 7 + 5x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 7 + 5x + -2x2 = 0 Factor a trinomial. (7 + -2x)(1 + x) = 0Subproblem 1
Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Subproblem 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 = {3.5, -1}
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