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Simplifying 4b2 + -9b + -46 = 9 Reorder the terms: -46 + -9b + 4b2 = 9 Solving -46 + -9b + 4b2 = 9 Solving for variable 'b'. Reorder the terms: -46 + -9 + -9b + 4b2 = 9 + -9 Combine like terms: -46 + -9 = -55 -55 + -9b + 4b2 = 9 + -9 Combine like terms: 9 + -9 = 0 -55 + -9b + 4b2 = 0 Factor a trinomial. (-11 + -4b)(5 + -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 '(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 = {-2.75, 5}
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