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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 = -6b (8 + -6b + b2) = 0 Solving 8 + -6b + 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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