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Simplifying 15b2 + -65b + -50 = 0 Reorder the terms: -50 + -65b + 15b2 = 0 Solving -50 + -65b + 15b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5'. 5(-10 + -13b + 3b2) = 0 Factor a trinomial. 5((-2 + -3b)(5 + -1b)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-2 + -3b)' equal to zero and attempt to solve: Simplifying -2 + -3b = 0 Solving -2 + -3b = 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 + -3b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3b = 0 + 2 -3b = 0 + 2 Combine like terms: 0 + 2 = 2 -3b = 2 Divide each side by '-3'. b = -0.6666666667 Simplifying b = -0.6666666667Subproblem 2
Set the factor '(5 + -1b)' equal to zero and attempt to solve: Simplifying 5 + -1b = 0 Solving 5 + -1b = 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 + -1b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1b = 0 + -5 -1b = 0 + -5 Combine like terms: 0 + -5 = -5 -1b = -5 Divide each side by '-1'. b = 5 Simplifying b = 5Solution
b = {-0.6666666667, 5}
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