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Simplifying -16 + -3b + b2 = 3b Solving -16 + -3b + b2 = 3b Solving for variable 'b'. Reorder the terms: -16 + -3b + -3b + b2 = 3b + -3b Combine like terms: -3b + -3b = -6b -16 + -6b + b2 = 3b + -3b Combine like terms: 3b + -3b = 0 -16 + -6b + b2 = 0 Factor a trinomial. (-2 + -1b)(8 + -1b) = 0Subproblem 1
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 = -2Subproblem 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 = {-2, 8}
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