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Simplifying 20 = b(b + -8) Reorder the terms: 20 = b(-8 + b) 20 = (-8 * b + b * b) 20 = (-8b + b2) Solving 20 = -8b + b2 Solving for variable 'b'. Reorder the terms: 20 + 8b + -1b2 = -8b + 8b + b2 + -1b2 Combine like terms: -8b + 8b = 0 20 + 8b + -1b2 = 0 + b2 + -1b2 20 + 8b + -1b2 = b2 + -1b2 Combine like terms: b2 + -1b2 = 0 20 + 8b + -1b2 = 0 Factor a trinomial. (10 + -1b)(2 + b) = 0Subproblem 1
Set the factor '(10 + -1b)' equal to zero and attempt to solve: Simplifying 10 + -1b = 0 Solving 10 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1b = 0 + -10 -1b = 0 + -10 Combine like terms: 0 + -10 = -10 -1b = -10 Divide each side by '-1'. b = 10 Simplifying b = 10Subproblem 2
Set the factor '(2 + b)' equal to zero and attempt to solve: Simplifying 2 + b = 0 Solving 2 + b = 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 + b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + b = 0 + -2 b = 0 + -2 Combine like terms: 0 + -2 = -2 b = -2 Simplifying b = -2Solution
b = {10, -2}
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