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Simplifying (8b + 1)(8b + 1) = 0 Reorder the terms: (1 + 8b)(8b + 1) = 0 Reorder the terms: (1 + 8b)(1 + 8b) = 0 Multiply (1 + 8b) * (1 + 8b) (1(1 + 8b) + 8b * (1 + 8b)) = 0 ((1 * 1 + 8b * 1) + 8b * (1 + 8b)) = 0 ((1 + 8b) + 8b * (1 + 8b)) = 0 (1 + 8b + (1 * 8b + 8b * 8b)) = 0 (1 + 8b + (8b + 64b2)) = 0 Combine like terms: 8b + 8b = 16b (1 + 16b + 64b2) = 0 Solving 1 + 16b + 64b2 = 0 Solving for variable 'b'. Factor a trinomial. (1 + 8b)(1 + 8b) = 0Subproblem 1
Set the factor '(1 + 8b)' equal to zero and attempt to solve: Simplifying 1 + 8b = 0 Solving 1 + 8b = 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 + 8b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8b = 0 + -1 8b = 0 + -1 Combine like terms: 0 + -1 = -1 8b = -1 Divide each side by '8'. b = -0.125 Simplifying b = -0.125Subproblem 2
Set the factor '(1 + 8b)' equal to zero and attempt to solve: Simplifying 1 + 8b = 0 Solving 1 + 8b = 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 + 8b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8b = 0 + -1 8b = 0 + -1 Combine like terms: 0 + -1 = -1 8b = -1 Divide each side by '8'. b = -0.125 Simplifying b = -0.125Solution
b = {-0.125, -0.125}
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