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Simplifying 4b2 + -4b = 99 Reorder the terms: -4b + 4b2 = 99 Solving -4b + 4b2 = 99 Solving for variable 'b'. Reorder the terms: -99 + -4b + 4b2 = 99 + -99 Combine like terms: 99 + -99 = 0 -99 + -4b + 4b2 = 0 Factor a trinomial. (-9 + -2b)(11 + -2b) = 0Subproblem 1
Set the factor '(-9 + -2b)' equal to zero and attempt to solve: Simplifying -9 + -2b = 0 Solving -9 + -2b = 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 + -2b = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2b = 0 + 9 -2b = 0 + 9 Combine like terms: 0 + 9 = 9 -2b = 9 Divide each side by '-2'. b = -4.5 Simplifying b = -4.5Subproblem 2
Set the factor '(11 + -2b)' equal to zero and attempt to solve: Simplifying 11 + -2b = 0 Solving 11 + -2b = 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 + -2b = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2b = 0 + -11 -2b = 0 + -11 Combine like terms: 0 + -11 = -11 -2b = -11 Divide each side by '-2'. b = 5.5 Simplifying b = 5.5Solution
b = {-4.5, 5.5}
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