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Simplifying 13x2 + 170x + 13 = 0 Reorder the terms: 13 + 170x + 13x2 = 0 Solving 13 + 170x + 13x2 = 0 Solving for variable 'x'. Factor a trinomial. (13 + x)(1 + 13x) = 0Subproblem 1
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 = -13Subproblem 2
Set the factor '(1 + 13x)' equal to zero and attempt to solve: Simplifying 1 + 13x = 0 Solving 1 + 13x = 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 + 13x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 13x = 0 + -1 13x = 0 + -1 Combine like terms: 0 + -1 = -1 13x = -1 Divide each side by '13'. x = -0.07692307692 Simplifying x = -0.07692307692Solution
x = {-13, -0.07692307692}
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