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Simplifying x2 + 9x + 14 = 6 Reorder the terms: 14 + 9x + x2 = 6 Solving 14 + 9x + x2 = 6 Solving for variable 'x'. Reorder the terms: 14 + -6 + 9x + x2 = 6 + -6 Combine like terms: 14 + -6 = 8 8 + 9x + x2 = 6 + -6 Combine like terms: 6 + -6 = 0 8 + 9x + x2 = 0 Factor a trinomial. (8 + x)(1 + x) = 0Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 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 = {-8, -1}
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