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Simplifying x2 + 55 = -14x + 10 Reorder the terms: 55 + x2 = -14x + 10 Reorder the terms: 55 + x2 = 10 + -14x Solving 55 + x2 = 10 + -14x Solving for variable 'x'. Reorder the terms: 55 + -10 + 14x + x2 = 10 + -14x + -10 + 14x Combine like terms: 55 + -10 = 45 45 + 14x + x2 = 10 + -14x + -10 + 14x Reorder the terms: 45 + 14x + x2 = 10 + -10 + -14x + 14x Combine like terms: 10 + -10 = 0 45 + 14x + x2 = 0 + -14x + 14x 45 + 14x + x2 = -14x + 14x Combine like terms: -14x + 14x = 0 45 + 14x + x2 = 0 Factor a trinomial. (9 + x)(5 + x) = 0Subproblem 1
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 = -9Subproblem 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 = {-9, -5}
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