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Simplifying x2 + 9x + 9 = -5 Reorder the terms: 9 + 9x + x2 = -5 Solving 9 + 9x + x2 = -5 Solving for variable 'x'. Reorder the terms: 9 + 5 + 9x + x2 = -5 + 5 Combine like terms: 9 + 5 = 14 14 + 9x + x2 = -5 + 5 Combine like terms: -5 + 5 = 0 14 + 9x + x2 = 0 Factor a trinomial. (7 + x)(2 + x) = 0Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-7, -2}
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