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Simplifying (11b + 8)(3b + -4) = 0 Reorder the terms: (8 + 11b)(3b + -4) = 0 Reorder the terms: (8 + 11b)(-4 + 3b) = 0 Multiply (8 + 11b) * (-4 + 3b) (8(-4 + 3b) + 11b * (-4 + 3b)) = 0 ((-4 * 8 + 3b * 8) + 11b * (-4 + 3b)) = 0 ((-32 + 24b) + 11b * (-4 + 3b)) = 0 (-32 + 24b + (-4 * 11b + 3b * 11b)) = 0 (-32 + 24b + (-44b + 33b2)) = 0 Combine like terms: 24b + -44b = -20b (-32 + -20b + 33b2) = 0 Solving -32 + -20b + 33b2 = 0 Solving for variable 'b'. Factor a trinomial. (-8 + -11b)(4 + -3b) = 0Subproblem 1
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 = -0.7272727273Subproblem 2
Set the factor '(4 + -3b)' equal to zero and attempt to solve: Simplifying 4 + -3b = 0 Solving 4 + -3b = 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 + -3b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3b = 0 + -4 -3b = 0 + -4 Combine like terms: 0 + -4 = -4 -3b = -4 Divide each side by '-3'. b = 1.333333333 Simplifying b = 1.333333333Solution
b = {-0.7272727273, 1.333333333}
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