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Simplifying b(3b + 11) = 4 Reorder the terms: b(11 + 3b) = 4 (11 * b + 3b * b) = 4 (11b + 3b2) = 4 Solving 11b + 3b2 = 4 Solving for variable 'b'. Reorder the terms: -4 + 11b + 3b2 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 11b + 3b2 = 0 Factor a trinomial. (-4 + -1b)(1 + -3b) = 0Subproblem 1
Set the factor '(-4 + -1b)' equal to zero and attempt to solve: Simplifying -4 + -1b = 0 Solving -4 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1b = 0 + 4 -1b = 0 + 4 Combine like terms: 0 + 4 = 4 -1b = 4 Divide each side by '-1'. b = -4 Simplifying b = -4Subproblem 2
Set the factor '(1 + -3b)' equal to zero and attempt to solve: Simplifying 1 + -3b = 0 Solving 1 + -3b = 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 + -3b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3b = 0 + -1 -3b = 0 + -1 Combine like terms: 0 + -1 = -1 -3b = -1 Divide each side by '-3'. b = 0.3333333333 Simplifying b = 0.3333333333Solution
b = {-4, 0.3333333333}
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