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Simplifying (5b + 8)(5b + 2) = 0 Reorder the terms: (8 + 5b)(5b + 2) = 0 Reorder the terms: (8 + 5b)(2 + 5b) = 0 Multiply (8 + 5b) * (2 + 5b) (8(2 + 5b) + 5b * (2 + 5b)) = 0 ((2 * 8 + 5b * 8) + 5b * (2 + 5b)) = 0 ((16 + 40b) + 5b * (2 + 5b)) = 0 (16 + 40b + (2 * 5b + 5b * 5b)) = 0 (16 + 40b + (10b + 25b2)) = 0 Combine like terms: 40b + 10b = 50b (16 + 50b + 25b2) = 0 Solving 16 + 50b + 25b2 = 0 Solving for variable 'b'. Factor a trinomial. (8 + 5b)(2 + 5b) = 0Subproblem 1
Set the factor '(8 + 5b)' equal to zero and attempt to solve: Simplifying 8 + 5b = 0 Solving 8 + 5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5b = 0 + -8 5b = 0 + -8 Combine like terms: 0 + -8 = -8 5b = -8 Divide each side by '5'. b = -1.6 Simplifying b = -1.6Subproblem 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 = {-1.6, -0.4}
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