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Simplifying b2 = 10b + -25 Reorder the terms: b2 = -25 + 10b Solving b2 = -25 + 10b Solving for variable 'b'. Reorder the terms: 25 + -10b + b2 = -25 + 10b + 25 + -10b Reorder the terms: 25 + -10b + b2 = -25 + 25 + 10b + -10b Combine like terms: -25 + 25 = 0 25 + -10b + b2 = 0 + 10b + -10b 25 + -10b + b2 = 10b + -10b Combine like terms: 10b + -10b = 0 25 + -10b + b2 = 0 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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