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Simplifying 9b2 + -53b + 40 = 0 Reorder the terms: 40 + -53b + 9b2 = 0 Solving 40 + -53b + 9b2 = 0 Solving for variable 'b'. Factor a trinomial. (8 + -9b)(5 + -1b) = 0Subproblem 1
Set the factor '(8 + -9b)' equal to zero and attempt to solve: Simplifying 8 + -9b = 0 Solving 8 + -9b = 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 + -9b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9b = 0 + -8 -9b = 0 + -8 Combine like terms: 0 + -8 = -8 -9b = -8 Divide each side by '-9'. b = 0.8888888889 Simplifying b = 0.8888888889Subproblem 2
Set the factor '(5 + -1b)' equal to zero and attempt to solve: Simplifying 5 + -1b = 0 Solving 5 + -1b = 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 + -1b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1b = 0 + -5 -1b = 0 + -5 Combine like terms: 0 + -5 = -5 -1b = -5 Divide each side by '-1'. b = 5 Simplifying b = 5Solution
b = {0.8888888889, 5}
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