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Simplifying 3b2 + -24b = b + -8 Reorder the terms: -24b + 3b2 = b + -8 Reorder the terms: -24b + 3b2 = -8 + b Solving -24b + 3b2 = -8 + b Solving for variable 'b'. Reorder the terms: 8 + -24b + -1b + 3b2 = -8 + b + 8 + -1b Combine like terms: -24b + -1b = -25b 8 + -25b + 3b2 = -8 + b + 8 + -1b Reorder the terms: 8 + -25b + 3b2 = -8 + 8 + b + -1b Combine like terms: -8 + 8 = 0 8 + -25b + 3b2 = 0 + b + -1b 8 + -25b + 3b2 = b + -1b Combine like terms: b + -1b = 0 8 + -25b + 3b2 = 0 Factor a trinomial. (1 + -3b)(8 + -1b) = 0Subproblem 1
Set the factor '(1 + -3b)' equal to zero and attempt to solve: Simplifying 1 + -3b = 0 Solving 1 + -3b = 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 + -3b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3b = 0 + -1 -3b = 0 + -1 Combine like terms: 0 + -1 = -1 -3b = -1 Divide each side by '-3'. b = 0.3333333333 Simplifying b = 0.3333333333Subproblem 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 = {0.3333333333, 8}
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