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Simplifying -5(2b + 3)(11b + -3) = 0 Reorder the terms: -5(3 + 2b)(11b + -3) = 0 Reorder the terms: -5(3 + 2b)(-3 + 11b) = 0 Multiply (3 + 2b) * (-3 + 11b) -5(3(-3 + 11b) + 2b * (-3 + 11b)) = 0 -5((-3 * 3 + 11b * 3) + 2b * (-3 + 11b)) = 0 -5((-9 + 33b) + 2b * (-3 + 11b)) = 0 -5(-9 + 33b + (-3 * 2b + 11b * 2b)) = 0 -5(-9 + 33b + (-6b + 22b2)) = 0 Combine like terms: 33b + -6b = 27b -5(-9 + 27b + 22b2) = 0 (-9 * -5 + 27b * -5 + 22b2 * -5) = 0 (45 + -135b + -110b2) = 0 Solving 45 + -135b + -110b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5'. 5(9 + -27b + -22b2) = 0 Factor a trinomial. 5((3 + -11b)(3 + 2b)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(3 + -11b)' equal to zero and attempt to solve: Simplifying 3 + -11b = 0 Solving 3 + -11b = 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 + -11b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -11b = 0 + -3 -11b = 0 + -3 Combine like terms: 0 + -3 = -3 -11b = -3 Divide each side by '-11'. b = 0.2727272727 Simplifying b = 0.2727272727Subproblem 2
Set the factor '(3 + 2b)' equal to zero and attempt to solve: Simplifying 3 + 2b = 0 Solving 3 + 2b = 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 + 2b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2b = 0 + -3 2b = 0 + -3 Combine like terms: 0 + -3 = -3 2b = -3 Divide each side by '2'. b = -1.5 Simplifying b = -1.5Solution
b = {0.2727272727, -1.5}
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