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Simplifying -2x2 = 5x + -33 Reorder the terms: -2x2 = -33 + 5x Solving -2x2 = -33 + 5x Solving for variable 'x'. Reorder the terms: 33 + -5x + -2x2 = -33 + 5x + 33 + -5x Reorder the terms: 33 + -5x + -2x2 = -33 + 33 + 5x + -5x Combine like terms: -33 + 33 = 0 33 + -5x + -2x2 = 0 + 5x + -5x 33 + -5x + -2x2 = 5x + -5x Combine like terms: 5x + -5x = 0 33 + -5x + -2x2 = 0 Factor a trinomial. (3 + -1x)(11 + 2x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 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 = {3, -5.5}
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