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