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Simplifying x2 + 20x + 97 = -2 Reorder the terms: 97 + 20x + x2 = -2 Solving 97 + 20x + x2 = -2 Solving for variable 'x'. Reorder the terms: 97 + 2 + 20x + x2 = -2 + 2 Combine like terms: 97 + 2 = 99 99 + 20x + x2 = -2 + 2 Combine like terms: -2 + 2 = 0 99 + 20x + x2 = 0 Factor a trinomial. (11 + x)(9 + x) = 0Subproblem 1
Set the factor '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 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 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Subproblem 2
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Solution
x = {-11, -9}
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