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