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Simplifying 15b2 + 26b + 5 = -3 Reorder the terms: 5 + 26b + 15b2 = -3 Solving 5 + 26b + 15b2 = -3 Solving for variable 'b'. Reorder the terms: 5 + 3 + 26b + 15b2 = -3 + 3 Combine like terms: 5 + 3 = 8 8 + 26b + 15b2 = -3 + 3 Combine like terms: -3 + 3 = 0 8 + 26b + 15b2 = 0 Factor a trinomial. (4 + 3b)(2 + 5b) = 0Subproblem 1
Set the factor '(4 + 3b)' equal to zero and attempt to solve: Simplifying 4 + 3b = 0 Solving 4 + 3b = 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 + 3b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3b = 0 + -4 3b = 0 + -4 Combine like terms: 0 + -4 = -4 3b = -4 Divide each side by '3'. b = -1.333333333 Simplifying b = -1.333333333Subproblem 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 = {-1.333333333, -0.4}
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