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Simplifying 48b2 + -74b + -10 = 0 Reorder the terms: -10 + -74b + 48b2 = 0 Solving -10 + -74b + 48b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + -37b + 24b2) = 0 Factor a trinomial. 2((-1 + -8b)(5 + -3b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -8b)' equal to zero and attempt to solve: Simplifying -1 + -8b = 0 Solving -1 + -8b = 0 Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -8b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -8b = 0 + 1 -8b = 0 + 1 Combine like terms: 0 + 1 = 1 -8b = 1 Divide each side by '-8'. b = -0.125 Simplifying b = -0.125Subproblem 2
Set the factor '(5 + -3b)' equal to zero and attempt to solve: Simplifying 5 + -3b = 0 Solving 5 + -3b = 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 + -3b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3b = 0 + -5 -3b = 0 + -5 Combine like terms: 0 + -5 = -5 -3b = -5 Divide each side by '-3'. b = 1.666666667 Simplifying b = 1.666666667Solution
b = {-0.125, 1.666666667}
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