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Simplifying 3b2 + -18b = 10b + -9 Reorder the terms: -18b + 3b2 = 10b + -9 Reorder the terms: -18b + 3b2 = -9 + 10b Solving -18b + 3b2 = -9 + 10b Solving for variable 'b'. Reorder the terms: 9 + -18b + -10b + 3b2 = -9 + 10b + 9 + -10b Combine like terms: -18b + -10b = -28b 9 + -28b + 3b2 = -9 + 10b + 9 + -10b Reorder the terms: 9 + -28b + 3b2 = -9 + 9 + 10b + -10b Combine like terms: -9 + 9 = 0 9 + -28b + 3b2 = 0 + 10b + -10b 9 + -28b + 3b2 = 10b + -10b Combine like terms: 10b + -10b = 0 9 + -28b + 3b2 = 0 Factor a trinomial. (1 + -3b)(9 + -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 '(9 + -1b)' equal to zero and attempt to solve: Simplifying 9 + -1b = 0 Solving 9 + -1b = 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 + -1b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1b = 0 + -9 -1b = 0 + -9 Combine like terms: 0 + -9 = -9 -1b = -9 Divide each side by '-1'. b = 9 Simplifying b = 9Solution
b = {0.3333333333, 9}
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