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Simplifying x + 5 = -1x2 + -14x + -49 Reorder the terms: 5 + x = -1x2 + -14x + -49 Reorder the terms: 5 + x = -49 + -14x + -1x2 Solving 5 + x = -49 + -14x + -1x2 Solving for variable 'x'. Reorder the terms: 5 + 49 + x + 14x + x2 = -49 + -14x + -1x2 + 49 + 14x + x2 Combine like terms: 5 + 49 = 54 54 + x + 14x + x2 = -49 + -14x + -1x2 + 49 + 14x + x2 Combine like terms: x + 14x = 15x 54 + 15x + x2 = -49 + -14x + -1x2 + 49 + 14x + x2 Reorder the terms: 54 + 15x + x2 = -49 + 49 + -14x + 14x + -1x2 + x2 Combine like terms: -49 + 49 = 0 54 + 15x + x2 = 0 + -14x + 14x + -1x2 + x2 54 + 15x + x2 = -14x + 14x + -1x2 + x2 Combine like terms: -14x + 14x = 0 54 + 15x + x2 = 0 + -1x2 + x2 54 + 15x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 54 + 15x + x2 = 0 Factor a trinomial. (9 + x)(6 + 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 '(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 = -6Solution
x = {-9, -6}
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