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Simplifying 25b2 + 60b + 36 = 0 Reorder the terms: 36 + 60b + 25b2 = 0 Solving 36 + 60b + 25b2 = 0 Solving for variable 'b'. Factor a trinomial. (6 + 5b)(6 + 5b) = 0Subproblem 1
Set the factor '(6 + 5b)' equal to zero and attempt to solve: Simplifying 6 + 5b = 0 Solving 6 + 5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5b = 0 + -6 5b = 0 + -6 Combine like terms: 0 + -6 = -6 5b = -6 Divide each side by '5'. b = -1.2 Simplifying b = -1.2Subproblem 2
Set the factor '(6 + 5b)' equal to zero and attempt to solve: Simplifying 6 + 5b = 0 Solving 6 + 5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5b = 0 + -6 5b = 0 + -6 Combine like terms: 0 + -6 = -6 5b = -6 Divide each side by '5'. b = -1.2 Simplifying b = -1.2Solution
b = {-1.2, -1.2}
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