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Simplifying 13x2 + 38x + 25 = 0 Reorder the terms: 25 + 38x + 13x2 = 0 Solving 25 + 38x + 13x2 = 0 Solving for variable 'x'. Factor a trinomial. (25 + 13x)(1 + x) = 0Subproblem 1
Set the factor '(25 + 13x)' equal to zero and attempt to solve: Simplifying 25 + 13x = 0 Solving 25 + 13x = 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 + 13x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 13x = 0 + -25 13x = 0 + -25 Combine like terms: 0 + -25 = -25 13x = -25 Divide each side by '13'. x = -1.923076923 Simplifying x = -1.923076923Subproblem 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 = {-1.923076923, -1}
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