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Simplifying 0 = 4x2 + 20x + -11 Reorder the terms: 0 = -11 + 20x + 4x2 Solving 0 = -11 + 20x + 4x2 Solving for variable 'x'. Combine like terms: 0 + 11 = 11 11 + -20x + -4x2 = -11 + 20x + 4x2 + 11 + -20x + -4x2 Reorder the terms: 11 + -20x + -4x2 = -11 + 11 + 20x + -20x + 4x2 + -4x2 Combine like terms: -11 + 11 = 0 11 + -20x + -4x2 = 0 + 20x + -20x + 4x2 + -4x2 11 + -20x + -4x2 = 20x + -20x + 4x2 + -4x2 Combine like terms: 20x + -20x = 0 11 + -20x + -4x2 = 0 + 4x2 + -4x2 11 + -20x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 11 + -20x + -4x2 = 0 Factor a trinomial. (1 + -2x)(11 + 2x) = 0Subproblem 1
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 = 0.5Subproblem 2
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 = -5.5Solution
x = {0.5, -5.5}
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