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Simplifying x2 + 38x = -361 Reorder the terms: 38x + x2 = -361 Solving 38x + x2 = -361 Solving for variable 'x'. Reorder the terms: 361 + 38x + x2 = -361 + 361 Combine like terms: -361 + 361 = 0 361 + 38x + x2 = 0 Factor a trinomial. (19 + x)(19 + x) = 0Subproblem 1
Set the factor '(19 + x)' equal to zero and attempt to solve: Simplifying 19 + x = 0 Solving 19 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + x = 0 + -19 x = 0 + -19 Combine like terms: 0 + -19 = -19 x = -19 Simplifying x = -19Subproblem 2
Set the factor '(19 + x)' equal to zero and attempt to solve: Simplifying 19 + x = 0 Solving 19 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + x = 0 + -19 x = 0 + -19 Combine like terms: 0 + -19 = -19 x = -19 Simplifying x = -19Solution
x = {-19, -19}
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