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Simplifying 91 = 2x2 + 7x + 6 Reorder the terms: 91 = 6 + 7x + 2x2 Solving 91 = 6 + 7x + 2x2 Solving for variable 'x'. Combine like terms: 91 + -6 = 85 85 + -7x + -2x2 = 6 + 7x + 2x2 + -6 + -7x + -2x2 Reorder the terms: 85 + -7x + -2x2 = 6 + -6 + 7x + -7x + 2x2 + -2x2 Combine like terms: 6 + -6 = 0 85 + -7x + -2x2 = 0 + 7x + -7x + 2x2 + -2x2 85 + -7x + -2x2 = 7x + -7x + 2x2 + -2x2 Combine like terms: 7x + -7x = 0 85 + -7x + -2x2 = 0 + 2x2 + -2x2 85 + -7x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 85 + -7x + -2x2 = 0 Factor a trinomial. (5 + -1x)(17 + 2x) = 0Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(17 + 2x)' equal to zero and attempt to solve: Simplifying 17 + 2x = 0 Solving 17 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 2x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 0 + -17 2x = 0 + -17 Combine like terms: 0 + -17 = -17 2x = -17 Divide each side by '2'. x = -8.5 Simplifying x = -8.5Solution
x = {5, -8.5}
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