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Simplifying b(11b + 3) = 8 Reorder the terms: b(3 + 11b) = 8 (3 * b + 11b * b) = 8 (3b + 11b2) = 8 Solving 3b + 11b2 = 8 Solving for variable 'b'. Reorder the terms: -8 + 3b + 11b2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 3b + 11b2 = 0 Factor a trinomial. (-1 + -1b)(8 + -11b) = 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 '(8 + -11b)' equal to zero and attempt to solve: Simplifying 8 + -11b = 0 Solving 8 + -11b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -11b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -11b = 0 + -8 -11b = 0 + -8 Combine like terms: 0 + -8 = -8 -11b = -8 Divide each side by '-11'. b = 0.7272727273 Simplifying b = 0.7272727273Solution
b = {-1, 0.7272727273}
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