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Simplifying 3b2 = 31b + 22 Reorder the terms: 3b2 = 22 + 31b Solving 3b2 = 22 + 31b Solving for variable 'b'. Reorder the terms: -22 + -31b + 3b2 = 22 + 31b + -22 + -31b Reorder the terms: -22 + -31b + 3b2 = 22 + -22 + 31b + -31b Combine like terms: 22 + -22 = 0 -22 + -31b + 3b2 = 0 + 31b + -31b -22 + -31b + 3b2 = 31b + -31b Combine like terms: 31b + -31b = 0 -22 + -31b + 3b2 = 0 Factor a trinomial. (-2 + -3b)(11 + -1b) = 0Subproblem 1
Set the factor '(-2 + -3b)' equal to zero and attempt to solve: Simplifying -2 + -3b = 0 Solving -2 + -3b = 0 Move all terms containing b to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3b = 0 + 2 -3b = 0 + 2 Combine like terms: 0 + 2 = 2 -3b = 2 Divide each side by '-3'. b = -0.6666666667 Simplifying b = -0.6666666667Subproblem 2
Set the factor '(11 + -1b)' equal to zero and attempt to solve: Simplifying 11 + -1b = 0 Solving 11 + -1b = 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 + -1b = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1b = 0 + -11 -1b = 0 + -11 Combine like terms: 0 + -11 = -11 -1b = -11 Divide each side by '-1'. b = 11 Simplifying b = 11Solution
b = {-0.6666666667, 11}
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