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Simplifying 4b2 + -5b = 9 Reorder the terms: -5b + 4b2 = 9 Solving -5b + 4b2 = 9 Solving for variable 'b'. Reorder the terms: -9 + -5b + 4b2 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + -5b + 4b2 = 0 Factor a trinomial. (-1 + -1b)(9 + -4b) = 0Subproblem 1
Set the factor '(-1 + -1b)' equal to zero and attempt to solve: Simplifying -1 + -1b = 0 Solving -1 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1b = 0 + 1 -1b = 0 + 1 Combine like terms: 0 + 1 = 1 -1b = 1 Divide each side by '-1'. b = -1 Simplifying b = -1Subproblem 2
Set the factor '(9 + -4b)' equal to zero and attempt to solve: Simplifying 9 + -4b = 0 Solving 9 + -4b = 0 Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4b = 0 + -9 -4b = 0 + -9 Combine like terms: 0 + -9 = -9 -4b = -9 Divide each side by '-4'. b = 2.25 Simplifying b = 2.25Solution
b = {-1, 2.25}
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