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Simplifying 10b2 + 29b + 10 = 0 Reorder the terms: 10 + 29b + 10b2 = 0 Solving 10 + 29b + 10b2 = 0 Solving for variable 'b'. Factor a trinomial. (5 + 2b)(2 + 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 '(2 + 5b)' equal to zero and attempt to solve: Simplifying 2 + 5b = 0 Solving 2 + 5b = 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 + 5b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5b = 0 + -2 5b = 0 + -2 Combine like terms: 0 + -2 = -2 5b = -2 Divide each side by '5'. b = -0.4 Simplifying b = -0.4Solution
b = {-2.5, -0.4}
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