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Simplifying 4b2 + -39b + 77 = 0 Reorder the terms: 77 + -39b + 4b2 = 0 Solving 77 + -39b + 4b2 = 0 Solving for variable 'b'. Factor a trinomial. (11 + -4b)(7 + -1b) = 0Subproblem 1
Set the factor '(11 + -4b)' equal to zero and attempt to solve: Simplifying 11 + -4b = 0 Solving 11 + -4b = 0 Move all terms containing b to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -4b = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4b = 0 + -11 -4b = 0 + -11 Combine like terms: 0 + -11 = -11 -4b = -11 Divide each side by '-4'. b = 2.75 Simplifying b = 2.75Subproblem 2
Set the factor '(7 + -1b)' equal to zero and attempt to solve: Simplifying 7 + -1b = 0 Solving 7 + -1b = 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 + -1b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1b = 0 + -7 -1b = 0 + -7 Combine like terms: 0 + -7 = -7 -1b = -7 Divide each side by '-1'. b = 7 Simplifying b = 7Solution
b = {2.75, 7}
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