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Simplifying 15b2 + -84b + -36 = 0 Reorder the terms: -36 + -84b + 15b2 = 0 Solving -36 + -84b + 15b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '3'. 3(-12 + -28b + 5b2) = 0 Factor a trinomial. 3((-2 + -5b)(6 + -1b)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2 + -5b)' equal to zero and attempt to solve: Simplifying -2 + -5b = 0 Solving -2 + -5b = 0 Move all terms containing b to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5b = 0 + 2 -5b = 0 + 2 Combine like terms: 0 + 2 = 2 -5b = 2 Divide each side by '-5'. b = -0.4 Simplifying b = -0.4Subproblem 2
Set the factor '(6 + -1b)' equal to zero and attempt to solve: Simplifying 6 + -1b = 0 Solving 6 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1b = 0 + -6 -1b = 0 + -6 Combine like terms: 0 + -6 = -6 -1b = -6 Divide each side by '-1'. b = 6 Simplifying b = 6Solution
b = {-0.4, 6}
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