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Simplifying b2 = 10b + -21 Reorder the terms: b2 = -21 + 10b Solving b2 = -21 + 10b Solving for variable 'b'. Reorder the terms: 21 + -10b + b2 = -21 + 10b + 21 + -10b Reorder the terms: 21 + -10b + b2 = -21 + 21 + 10b + -10b Combine like terms: -21 + 21 = 0 21 + -10b + b2 = 0 + 10b + -10b 21 + -10b + b2 = 10b + -10b Combine like terms: 10b + -10b = 0 21 + -10b + b2 = 0 Factor a trinomial. (3 + -1b)(7 + -1b) = 0Subproblem 1
Set the factor '(3 + -1b)' equal to zero and attempt to solve: Simplifying 3 + -1b = 0 Solving 3 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1b = 0 + -3 -1b = 0 + -3 Combine like terms: 0 + -3 = -3 -1b = -3 Divide each side by '-1'. b = 3 Simplifying b = 3Subproblem 2
Set the factor '(7 + -1b)' equal to zero and attempt to solve: Simplifying 7 + -1b = 0 Solving 7 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1b = 0 + -7 -1b = 0 + -7 Combine like terms: 0 + -7 = -7 -1b = -7 Divide each side by '-1'. b = 7 Simplifying b = 7Solution
b = {3, 7}
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