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Simplifying 20b2 + 37b + 15 = 0 Reorder the terms: 15 + 37b + 20b2 = 0 Solving 15 + 37b + 20b2 = 0 Solving for variable 'b'. Factor a trinomial. (5 + 4b)(3 + 5b) = 0Subproblem 1
Set the factor '(5 + 4b)' equal to zero and attempt to solve: Simplifying 5 + 4b = 0 Solving 5 + 4b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4b = 0 + -5 4b = 0 + -5 Combine like terms: 0 + -5 = -5 4b = -5 Divide each side by '4'. b = -1.25 Simplifying b = -1.25Subproblem 2
Set the factor '(3 + 5b)' equal to zero and attempt to solve: Simplifying 3 + 5b = 0 Solving 3 + 5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5b = 0 + -3 5b = 0 + -3 Combine like terms: 0 + -3 = -3 5b = -3 Divide each side by '5'. b = -0.6 Simplifying b = -0.6Solution
b = {-1.25, -0.6}
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