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Simplifying (b + -5)(b + -5) = 0 Reorder the terms: (-5 + b)(b + -5) = 0 Reorder the terms: (-5 + b)(-5 + b) = 0 Multiply (-5 + b) * (-5 + b) (-5(-5 + b) + b(-5 + b)) = 0 ((-5 * -5 + b * -5) + b(-5 + b)) = 0 ((25 + -5b) + b(-5 + b)) = 0 (25 + -5b + (-5 * b + b * b)) = 0 (25 + -5b + (-5b + b2)) = 0 Combine like terms: -5b + -5b = -10b (25 + -10b + b2) = 0 Solving 25 + -10b + b2 = 0 Solving for variable 'b'. Factor a trinomial. (5 + -1b)(5 + -1b) = 0Subproblem 1
Set the factor '(5 + -1b)' equal to zero and attempt to solve: Simplifying 5 + -1b = 0 Solving 5 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1b = 0 + -5 -1b = 0 + -5 Combine like terms: 0 + -5 = -5 -1b = -5 Divide each side by '-1'. b = 5 Simplifying b = 5Subproblem 2
Set the factor '(5 + -1b)' equal to zero and attempt to solve: Simplifying 5 + -1b = 0 Solving 5 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1b = 0 + -5 -1b = 0 + -5 Combine like terms: 0 + -5 = -5 -1b = -5 Divide each side by '-1'. b = 5 Simplifying b = 5Solution
b = {5, 5}
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