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Simplifying (5b + -2)(b + -4) = 0 Reorder the terms: (-2 + 5b)(b + -4) = 0 Reorder the terms: (-2 + 5b)(-4 + b) = 0 Multiply (-2 + 5b) * (-4 + b) (-2(-4 + b) + 5b * (-4 + b)) = 0 ((-4 * -2 + b * -2) + 5b * (-4 + b)) = 0 ((8 + -2b) + 5b * (-4 + b)) = 0 (8 + -2b + (-4 * 5b + b * 5b)) = 0 (8 + -2b + (-20b + 5b2)) = 0 Combine like terms: -2b + -20b = -22b (8 + -22b + 5b2) = 0 Solving 8 + -22b + 5b2 = 0 Solving for variable 'b'. Factor a trinomial. (2 + -5b)(4 + -1b) = 0Subproblem 1
Set the factor '(2 + -5b)' equal to zero and attempt to solve: Simplifying 2 + -5b = 0 Solving 2 + -5b = 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 + -5b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5b = 0 + -2 -5b = 0 + -2 Combine like terms: 0 + -2 = -2 -5b = -2 Divide each side by '-5'. b = 0.4 Simplifying b = 0.4Subproblem 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 = {0.4, 4}
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