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Simplifying b2 + 19b + -1100 = 0 Reorder the terms: -1100 + 19b + b2 = 0 Solving -1100 + 19b + b2 = 0 Solving for variable 'b'. Factor a trinomial. (-44 + -1b)(25 + -1b) = 0Subproblem 1
Set the factor '(-44 + -1b)' equal to zero and attempt to solve: Simplifying -44 + -1b = 0 Solving -44 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + -1b = 0 + 44 Combine like terms: -44 + 44 = 0 0 + -1b = 0 + 44 -1b = 0 + 44 Combine like terms: 0 + 44 = 44 -1b = 44 Divide each side by '-1'. b = -44 Simplifying b = -44Subproblem 2
Set the factor '(25 + -1b)' equal to zero and attempt to solve: Simplifying 25 + -1b = 0 Solving 25 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1b = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1b = 0 + -25 -1b = 0 + -25 Combine like terms: 0 + -25 = -25 -1b = -25 Divide each side by '-1'. b = 25 Simplifying b = 25Solution
b = {-44, 25}
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