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Simplifying 169b2 + 52b + 4 = 0 Reorder the terms: 4 + 52b + 169b2 = 0 Solving 4 + 52b + 169b2 = 0 Solving for variable 'b'. Factor a trinomial. (2 + 13b)(2 + 13b) = 0Subproblem 1
Set the factor '(2 + 13b)' equal to zero and attempt to solve: Simplifying 2 + 13b = 0 Solving 2 + 13b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 13b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 13b = 0 + -2 13b = 0 + -2 Combine like terms: 0 + -2 = -2 13b = -2 Divide each side by '13'. b = -0.1538461538 Simplifying b = -0.1538461538Subproblem 2
Set the factor '(2 + 13b)' equal to zero and attempt to solve: Simplifying 2 + 13b = 0 Solving 2 + 13b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 13b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 13b = 0 + -2 13b = 0 + -2 Combine like terms: 0 + -2 = -2 13b = -2 Divide each side by '13'. b = -0.1538461538 Simplifying b = -0.1538461538Solution
b = {-0.1538461538, -0.1538461538}
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