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Simplifying x2 + 28x + 196 = 9 Reorder the terms: 196 + 28x + x2 = 9 Solving 196 + 28x + x2 = 9 Solving for variable 'x'. Reorder the terms: 196 + -9 + 28x + x2 = 9 + -9 Combine like terms: 196 + -9 = 187 187 + 28x + x2 = 9 + -9 Combine like terms: 9 + -9 = 0 187 + 28x + x2 = 0 Factor a trinomial. (17 + x)(11 + x) = 0Subproblem 1
Set the factor '(17 + x)' equal to zero and attempt to solve: Simplifying 17 + x = 0 Solving 17 + x = 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 + x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + x = 0 + -17 x = 0 + -17 Combine like terms: 0 + -17 = -17 x = -17 Simplifying x = -17Subproblem 2
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 = -11Solution
x = {-17, -11}
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