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Simplifying 2b2 = 44 + 3b Solving 2b2 = 44 + 3b Solving for variable 'b'. Reorder the terms: -44 + -3b + 2b2 = 44 + 3b + -44 + -3b Reorder the terms: -44 + -3b + 2b2 = 44 + -44 + 3b + -3b Combine like terms: 44 + -44 = 0 -44 + -3b + 2b2 = 0 + 3b + -3b -44 + -3b + 2b2 = 3b + -3b Combine like terms: 3b + -3b = 0 -44 + -3b + 2b2 = 0 Factor a trinomial. (-4 + -1b)(11 + -2b) = 0Subproblem 1
Set the factor '(-4 + -1b)' equal to zero and attempt to solve: Simplifying -4 + -1b = 0 Solving -4 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1b = 0 + 4 -1b = 0 + 4 Combine like terms: 0 + 4 = 4 -1b = 4 Divide each side by '-1'. b = -4 Simplifying b = -4Subproblem 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}
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