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Simplifying b2 + -12b + -20 = 8 Reorder the terms: -20 + -12b + b2 = 8 Solving -20 + -12b + b2 = 8 Solving for variable 'b'. Reorder the terms: -20 + -8 + -12b + b2 = 8 + -8 Combine like terms: -20 + -8 = -28 -28 + -12b + b2 = 8 + -8 Combine like terms: 8 + -8 = 0 -28 + -12b + b2 = 0 Factor a trinomial. (-2 + -1b)(14 + -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 '(14 + -1b)' equal to zero and attempt to solve: Simplifying 14 + -1b = 0 Solving 14 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1b = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1b = 0 + -14 -1b = 0 + -14 Combine like terms: 0 + -14 = -14 -1b = -14 Divide each side by '-1'. b = 14 Simplifying b = 14Solution
b = {-2, 14}
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