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Simplifying 16b2 + 40b + 25 = 0 Reorder the terms: 25 + 40b + 16b2 = 0 Solving 25 + 40b + 16b2 = 0 Solving for variable 'b'. Factor a trinomial. (5 + 4b)(5 + 4b) = 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 '(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 = -1.25Solution
b = {-1.25, -1.25}
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