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Simplifying 6b2 + 41b + 63 = 0 Reorder the terms: 63 + 41b + 6b2 = 0 Solving 63 + 41b + 6b2 = 0 Solving for variable 'b'. Factor a trinomial. (9 + 2b)(7 + 3b) = 0Subproblem 1
Set the factor '(9 + 2b)' equal to zero and attempt to solve: Simplifying 9 + 2b = 0 Solving 9 + 2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2b = 0 + -9 2b = 0 + -9 Combine like terms: 0 + -9 = -9 2b = -9 Divide each side by '2'. b = -4.5 Simplifying b = -4.5Subproblem 2
Set the factor '(7 + 3b)' equal to zero and attempt to solve: Simplifying 7 + 3b = 0 Solving 7 + 3b = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3b = 0 + -7 3b = 0 + -7 Combine like terms: 0 + -7 = -7 3b = -7 Divide each side by '3'. b = -2.333333333 Simplifying b = -2.333333333Solution
b = {-4.5, -2.333333333}
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