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Simplifying 169x2 + 78x + 9 = 0 Reorder the terms: 9 + 78x + 169x2 = 0 Solving 9 + 78x + 169x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + 13x)(3 + 13x) = 0Subproblem 1
Set the factor '(3 + 13x)' equal to zero and attempt to solve: Simplifying 3 + 13x = 0 Solving 3 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 13x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 13x = 0 + -3 13x = 0 + -3 Combine like terms: 0 + -3 = -3 13x = -3 Divide each side by '13'. x = -0.2307692308 Simplifying x = -0.2307692308Subproblem 2
Set the factor '(3 + 13x)' equal to zero and attempt to solve: Simplifying 3 + 13x = 0 Solving 3 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 13x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 13x = 0 + -3 13x = 0 + -3 Combine like terms: 0 + -3 = -3 13x = -3 Divide each side by '13'. x = -0.2307692308 Simplifying x = -0.2307692308Solution
x = {-0.2307692308, -0.2307692308}
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