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Simplifying 10b + -1b2 = 25 Solving 10b + -1b2 = 25 Solving for variable 'b'. Reorder the terms: -25 + 10b + -1b2 = 25 + -25 Combine like terms: 25 + -25 = 0 -25 + 10b + -1b2 = 0 Factor a trinomial. (-5 + b)(5 + -1b) = 0Subproblem 1
Set the factor '(-5 + b)' equal to zero and attempt to solve: Simplifying -5 + b = 0 Solving -5 + b = 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 + b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + b = 0 + 5 b = 0 + 5 Combine like terms: 0 + 5 = 5 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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