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Simplifying 2b2 + -88 = 5b Reorder the terms: -88 + 2b2 = 5b Solving -88 + 2b2 = 5b Solving for variable 'b'. Reorder the terms: -88 + -5b + 2b2 = 5b + -5b Combine like terms: 5b + -5b = 0 -88 + -5b + 2b2 = 0 Factor a trinomial. (-11 + -2b)(8 + -1b) = 0Subproblem 1
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 = -5.5Subproblem 2
Set the factor '(8 + -1b)' equal to zero and attempt to solve: Simplifying 8 + -1b = 0 Solving 8 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1b = 0 + -8 -1b = 0 + -8 Combine like terms: 0 + -8 = -8 -1b = -8 Divide each side by '-1'. b = 8 Simplifying b = 8Solution
b = {-5.5, 8}
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