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Simplifying x2 + 10x + 18 = 2 Reorder the terms: 18 + 10x + x2 = 2 Solving 18 + 10x + x2 = 2 Solving for variable 'x'. Reorder the terms: 18 + -2 + 10x + x2 = 2 + -2 Combine like terms: 18 + -2 = 16 16 + 10x + x2 = 2 + -2 Combine like terms: 2 + -2 = 0 16 + 10x + x2 = 0 Factor a trinomial. (8 + x)(2 + 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 '(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 = {-8, -2}
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