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Simplifying x2 + 11x + 10 = -20 Reorder the terms: 10 + 11x + x2 = -20 Solving 10 + 11x + x2 = -20 Solving for variable 'x'. Reorder the terms: 10 + 20 + 11x + x2 = -20 + 20 Combine like terms: 10 + 20 = 30 30 + 11x + x2 = -20 + 20 Combine like terms: -20 + 20 = 0 30 + 11x + x2 = 0 Factor a trinomial. (6 + x)(5 + x) = 0Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 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 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {-6, -5}
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