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Simplifying 3b2 + -16 = -2b Reorder the terms: -16 + 3b2 = -2b Solving -16 + 3b2 = -2b Solving for variable 'b'. Reorder the terms: -16 + 2b + 3b2 = -2b + 2b Combine like terms: -2b + 2b = 0 -16 + 2b + 3b2 = 0 Factor a trinomial. (-8 + -3b)(2 + -1b) = 0Subproblem 1
Set the factor '(-8 + -3b)' equal to zero and attempt to solve: Simplifying -8 + -3b = 0 Solving -8 + -3b = 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 + -3b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3b = 0 + 8 -3b = 0 + 8 Combine like terms: 0 + 8 = 8 -3b = 8 Divide each side by '-3'. b = -2.666666667 Simplifying b = -2.666666667Subproblem 2
Set the factor '(2 + -1b)' equal to zero and attempt to solve: Simplifying 2 + -1b = 0 Solving 2 + -1b = 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 + -1b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1b = 0 + -2 -1b = 0 + -2 Combine like terms: 0 + -2 = -2 -1b = -2 Divide each side by '-1'. b = 2 Simplifying b = 2Solution
b = {-2.666666667, 2}
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