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Simplifying b2 = 4b + -4 Reorder the terms: b2 = -4 + 4b Solving b2 = -4 + 4b Solving for variable 'b'. Reorder the terms: 4 + -4b + b2 = -4 + 4b + 4 + -4b Reorder the terms: 4 + -4b + b2 = -4 + 4 + 4b + -4b Combine like terms: -4 + 4 = 0 4 + -4b + b2 = 0 + 4b + -4b 4 + -4b + b2 = 4b + -4b Combine like terms: 4b + -4b = 0 4 + -4b + b2 = 0 Factor a trinomial. (2 + -1b)(2 + -1b) = 0Subproblem 1
Set the factor '(2 + -1b)' equal to zero and attempt to solve: Simplifying 2 + -1b = 0 Solving 2 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1b = 0 + -2 -1b = 0 + -2 Combine like terms: 0 + -2 = -2 -1b = -2 Divide each side by '-1'. b = 2 Simplifying b = 2Subproblem 2
Set the factor '(2 + -1b)' equal to zero and attempt to solve: Simplifying 2 + -1b = 0 Solving 2 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1b = 0 + -2 -1b = 0 + -2 Combine like terms: 0 + -2 = -2 -1b = -2 Divide each side by '-1'. b = 2 Simplifying b = 2Solution
b = {2, 2}
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