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Simplifying x2 + 22x + 9 = -12 Reorder the terms: 9 + 22x + x2 = -12 Solving 9 + 22x + x2 = -12 Solving for variable 'x'. Reorder the terms: 9 + 12 + 22x + x2 = -12 + 12 Combine like terms: 9 + 12 = 21 21 + 22x + x2 = -12 + 12 Combine like terms: -12 + 12 = 0 21 + 22x + x2 = 0 Factor a trinomial. (21 + x)(1 + x) = 0Subproblem 1
Set the factor '(21 + x)' equal to zero and attempt to solve: Simplifying 21 + x = 0 Solving 21 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + x = 0 + -21 x = 0 + -21 Combine like terms: 0 + -21 = -21 x = -21 Simplifying x = -21Subproblem 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 = {-21, -1}
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