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Simplifying x2 = -11x + -10 Reorder the terms: x2 = -10 + -11x Solving x2 = -10 + -11x Solving for variable 'x'. Reorder the terms: 10 + 11x + x2 = -10 + -11x + 10 + 11x Reorder the terms: 10 + 11x + x2 = -10 + 10 + -11x + 11x Combine like terms: -10 + 10 = 0 10 + 11x + x2 = 0 + -11x + 11x 10 + 11x + x2 = -11x + 11x Combine like terms: -11x + 11x = 0 10 + 11x + x2 = 0 Factor a trinomial. (10 + x)(1 + x) = 0Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-10, -1}
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