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Simplifying 2b2 + -9b + -95 = 0 Reorder the terms: -95 + -9b + 2b2 = 0 Solving -95 + -9b + 2b2 = 0 Solving for variable 'b'. Factor a trinomial. (-5 + -1b)(19 + -2b) = 0Subproblem 1
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 = -5Subproblem 2
Set the factor '(19 + -2b)' equal to zero and attempt to solve: Simplifying 19 + -2b = 0 Solving 19 + -2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -2b = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -2b = 0 + -19 -2b = 0 + -19 Combine like terms: 0 + -19 = -19 -2b = -19 Divide each side by '-2'. b = 9.5 Simplifying b = 9.5Solution
b = {-5, 9.5}
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