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Simplifying (11b + 5)(6b + -18) = 0 Reorder the terms: (5 + 11b)(6b + -18) = 0 Reorder the terms: (5 + 11b)(-18 + 6b) = 0 Multiply (5 + 11b) * (-18 + 6b) (5(-18 + 6b) + 11b * (-18 + 6b)) = 0 ((-18 * 5 + 6b * 5) + 11b * (-18 + 6b)) = 0 ((-90 + 30b) + 11b * (-18 + 6b)) = 0 (-90 + 30b + (-18 * 11b + 6b * 11b)) = 0 (-90 + 30b + (-198b + 66b2)) = 0 Combine like terms: 30b + -198b = -168b (-90 + -168b + 66b2) = 0 Solving -90 + -168b + 66b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '6'. 6(-15 + -28b + 11b2) = 0 Factor a trinomial. 6((-5 + -11b)(3 + -1b)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-5 + -11b)' equal to zero and attempt to solve: Simplifying -5 + -11b = 0 Solving -5 + -11b = 0 Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -11b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -11b = 0 + 5 -11b = 0 + 5 Combine like terms: 0 + 5 = 5 -11b = 5 Divide each side by '-11'. b = -0.4545454545 Simplifying b = -0.4545454545Subproblem 2
Set the factor '(3 + -1b)' equal to zero and attempt to solve: Simplifying 3 + -1b = 0 Solving 3 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1b = 0 + -3 -1b = 0 + -3 Combine like terms: 0 + -3 = -3 -1b = -3 Divide each side by '-1'. b = 3 Simplifying b = 3Solution
b = {-0.4545454545, 3}
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