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Simplifying 56 = 2x2 + -1x + -10 Reorder the terms: 56 = -10 + -1x + 2x2 Solving 56 = -10 + -1x + 2x2 Solving for variable 'x'. Combine like terms: 56 + 10 = 66 66 + x + -2x2 = -10 + -1x + 2x2 + 10 + x + -2x2 Reorder the terms: 66 + x + -2x2 = -10 + 10 + -1x + x + 2x2 + -2x2 Combine like terms: -10 + 10 = 0 66 + x + -2x2 = 0 + -1x + x + 2x2 + -2x2 66 + x + -2x2 = -1x + x + 2x2 + -2x2 Combine like terms: -1x + x = 0 66 + x + -2x2 = 0 + 2x2 + -2x2 66 + x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 66 + x + -2x2 = 0 Factor a trinomial. (6 + -1x)(11 + 2x) = 0Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 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 = {6, -5.5}
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