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Simplifying x2 + 38x + 217 = 0 Reorder the terms: 217 + 38x + x2 = 0 Solving 217 + 38x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (31 + x)(7 + x) = 0Subproblem 1
Set the factor '(31 + x)' equal to zero and attempt to solve: Simplifying 31 + x = 0 Solving 31 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + x = 0 + -31 x = 0 + -31 Combine like terms: 0 + -31 = -31 x = -31 Simplifying x = -31Subproblem 2
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 = -7Solution
x = {-31, -7}
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