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Simplifying 3b2 = 22b + 16 Reorder the terms: 3b2 = 16 + 22b Solving 3b2 = 16 + 22b Solving for variable 'b'. Reorder the terms: -16 + -22b + 3b2 = 16 + 22b + -16 + -22b Reorder the terms: -16 + -22b + 3b2 = 16 + -16 + 22b + -22b Combine like terms: 16 + -16 = 0 -16 + -22b + 3b2 = 0 + 22b + -22b -16 + -22b + 3b2 = 22b + -22b Combine like terms: 22b + -22b = 0 -16 + -22b + 3b2 = 0 Factor a trinomial. (-2 + -3b)(8 + -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 '(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 = {-0.6666666667, 8}
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