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Simplifying (b + -4)(b + 2) = 0 Reorder the terms: (-4 + b)(b + 2) = 0 Reorder the terms: (-4 + b)(2 + b) = 0 Multiply (-4 + b) * (2 + b) (-4(2 + b) + b(2 + b)) = 0 ((2 * -4 + b * -4) + b(2 + b)) = 0 ((-8 + -4b) + b(2 + b)) = 0 (-8 + -4b + (2 * b + b * b)) = 0 (-8 + -4b + (2b + b2)) = 0 Combine like terms: -4b + 2b = -2b (-8 + -2b + b2) = 0 Solving -8 + -2b + b2 = 0 Solving for variable 'b'. Factor a trinomial. (-2 + -1b)(4 + -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 '(4 + -1b)' equal to zero and attempt to solve: Simplifying 4 + -1b = 0 Solving 4 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1b = 0 + -4 -1b = 0 + -4 Combine like terms: 0 + -4 = -4 -1b = -4 Divide each side by '-1'. b = 4 Simplifying b = 4Solution
b = {-2, 4}
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