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Simplifying x(x + 11) + 17(x + 11) = 0 Reorder the terms: x(11 + x) + 17(x + 11) = 0 (11 * x + x * x) + 17(x + 11) = 0 (11x + x2) + 17(x + 11) = 0 Reorder the terms: 11x + x2 + 17(11 + x) = 0 11x + x2 + (11 * 17 + x * 17) = 0 11x + x2 + (187 + 17x) = 0 Reorder the terms: 187 + 11x + 17x + x2 = 0 Combine like terms: 11x + 17x = 28x 187 + 28x + x2 = 0 Solving 187 + 28x + x2 = 0 Solving for variable 'x'. 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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