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Simplifying b2 = 14b + -49 Reorder the terms: b2 = -49 + 14b Solving b2 = -49 + 14b Solving for variable 'b'. Reorder the terms: 49 + -14b + b2 = -49 + 14b + 49 + -14b Reorder the terms: 49 + -14b + b2 = -49 + 49 + 14b + -14b Combine like terms: -49 + 49 = 0 49 + -14b + b2 = 0 + 14b + -14b 49 + -14b + b2 = 14b + -14b Combine like terms: 14b + -14b = 0 49 + -14b + b2 = 0 Factor a trinomial. (7 + -1b)(7 + -1b) = 0Subproblem 1
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 = 7Subproblem 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 = {7, 7}
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