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Simplifying 250b + -1b2 = 1225 Solving 250b + -1b2 = 1225 Solving for variable 'b'. Reorder the terms: -1225 + 250b + -1b2 = 1225 + -1225 Combine like terms: 1225 + -1225 = 0 -1225 + 250b + -1b2 = 0 Factor a trinomial. (-245 + b)(5 + -1b) = 0Subproblem 1
Set the factor '(-245 + b)' equal to zero and attempt to solve: Simplifying -245 + b = 0 Solving -245 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '245' to each side of the equation. -245 + 245 + b = 0 + 245 Combine like terms: -245 + 245 = 0 0 + b = 0 + 245 b = 0 + 245 Combine like terms: 0 + 245 = 245 b = 245 Simplifying b = 245Subproblem 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 = {245, 5}
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