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Simplifying b2 + 14b + -32 = 0 Reorder the terms: -32 + 14b + b2 = 0 Solving -32 + 14b + b2 = 0 Solving for variable 'b'. Factor a trinomial. (-16 + -1b)(2 + -1b) = 0Subproblem 1
Set the factor '(-16 + -1b)' equal to zero and attempt to solve: Simplifying -16 + -1b = 0 Solving -16 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1b = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1b = 0 + 16 -1b = 0 + 16 Combine like terms: 0 + 16 = 16 -1b = 16 Divide each side by '-1'. b = -16 Simplifying b = -16Subproblem 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 = {-16, 2}
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