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Simplifying 4b2 + -5b + -44 = 0 Reorder the terms: -44 + -5b + 4b2 = 0 Solving -44 + -5b + 4b2 = 0 Solving for variable 'b'. Factor a trinomial. (-11 + -4b)(4 + -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 '(4 + -1b)' equal to zero and attempt to solve: Simplifying 4 + -1b = 0 Solving 4 + -1b = 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 + -1b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1b = 0 + -4 -1b = 0 + -4 Combine like terms: 0 + -4 = -4 -1b = -4 Divide each side by '-1'. b = 4 Simplifying b = 4Solution
b = {-2.75, 4}
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