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Simplifying x2 + 38x + 361 = 36 Reorder the terms: 361 + 38x + x2 = 36 Solving 361 + 38x + x2 = 36 Solving for variable 'x'. Reorder the terms: 361 + -36 + 38x + x2 = 36 + -36 Combine like terms: 361 + -36 = 325 325 + 38x + x2 = 36 + -36 Combine like terms: 36 + -36 = 0 325 + 38x + x2 = 0 Factor a trinomial. (25 + x)(13 + x) = 0Subproblem 1
Set the factor '(25 + x)' equal to zero and attempt to solve: Simplifying 25 + x = 0 Solving 25 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + x = 0 + -25 x = 0 + -25 Combine like terms: 0 + -25 = -25 x = -25 Simplifying x = -25Subproblem 2
Set the factor '(13 + x)' equal to zero and attempt to solve: Simplifying 13 + x = 0 Solving 13 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + x = 0 + -13 x = 0 + -13 Combine like terms: 0 + -13 = -13 x = -13 Simplifying x = -13Solution
x = {-25, -13}
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