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Simplifying 15b2 + -102b + -144 = 0 Reorder the terms: -144 + -102b + 15b2 = 0 Solving -144 + -102b + 15b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '3'. 3(-48 + -34b + 5b2) = 0 Factor a trinomial. 3((-6 + -5b)(8 + -1b)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-6 + -5b)' equal to zero and attempt to solve: Simplifying -6 + -5b = 0 Solving -6 + -5b = 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 + -5b = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5b = 0 + 6 -5b = 0 + 6 Combine like terms: 0 + 6 = 6 -5b = 6 Divide each side by '-5'. b = -1.2 Simplifying b = -1.2Subproblem 2
Set the factor '(8 + -1b)' equal to zero and attempt to solve: Simplifying 8 + -1b = 0 Solving 8 + -1b = 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 + -1b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1b = 0 + -8 -1b = 0 + -8 Combine like terms: 0 + -8 = -8 -1b = -8 Divide each side by '-1'. b = 8 Simplifying b = 8Solution
b = {-1.2, 8}
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