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Simplifying 10b2 + 33b + 4 = -16 Reorder the terms: 4 + 33b + 10b2 = -16 Solving 4 + 33b + 10b2 = -16 Solving for variable 'b'. Reorder the terms: 4 + 16 + 33b + 10b2 = -16 + 16 Combine like terms: 4 + 16 = 20 20 + 33b + 10b2 = -16 + 16 Combine like terms: -16 + 16 = 0 20 + 33b + 10b2 = 0 Factor a trinomial. (5 + 2b)(4 + 5b) = 0Subproblem 1
Set the factor '(5 + 2b)' equal to zero and attempt to solve: Simplifying 5 + 2b = 0 Solving 5 + 2b = 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 + 2b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2b = 0 + -5 2b = 0 + -5 Combine like terms: 0 + -5 = -5 2b = -5 Divide each side by '2'. b = -2.5 Simplifying b = -2.5Subproblem 2
Set the factor '(4 + 5b)' equal to zero and attempt to solve: Simplifying 4 + 5b = 0 Solving 4 + 5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5b = 0 + -4 5b = 0 + -4 Combine like terms: 0 + -4 = -4 5b = -4 Divide each side by '5'. b = -0.8 Simplifying b = -0.8Solution
b = {-2.5, -0.8}
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