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Simplifying 0 = 2x2 + -5x + -33 Reorder the terms: 0 = -33 + -5x + 2x2 Solving 0 = -33 + -5x + 2x2 Solving for variable 'x'. Combine like terms: 0 + 33 = 33 33 + 5x + -2x2 = -33 + -5x + 2x2 + 33 + 5x + -2x2 Reorder the terms: 33 + 5x + -2x2 = -33 + 33 + -5x + 5x + 2x2 + -2x2 Combine like terms: -33 + 33 = 0 33 + 5x + -2x2 = 0 + -5x + 5x + 2x2 + -2x2 33 + 5x + -2x2 = -5x + 5x + 2x2 + -2x2 Combine like terms: -5x + 5x = 0 33 + 5x + -2x2 = 0 + 2x2 + -2x2 33 + 5x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 33 + 5x + -2x2 = 0 Factor a trinomial. (11 + -2x)(3 + 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {5.5, -3}
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