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Simplifying 15b2 + -21b + -72 = 0 Reorder the terms: -72 + -21b + 15b2 = 0 Solving -72 + -21b + 15b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '3'. 3(-24 + -7b + 5b2) = 0 Factor a trinomial. 3((-8 + -5b)(3 + -1b)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-8 + -5b)' equal to zero and attempt to solve: Simplifying -8 + -5b = 0 Solving -8 + -5b = 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 + -5b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5b = 0 + 8 -5b = 0 + 8 Combine like terms: 0 + 8 = 8 -5b = 8 Divide each side by '-5'. b = -1.6 Simplifying b = -1.6Subproblem 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 = {-1.6, 3}
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