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Simplifying 10b2 + -78b + -16 = 0 Reorder the terms: -16 + -78b + 10b2 = 0 Solving -16 + -78b + 10b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + -39b + 5b2) = 0 Factor a trinomial. 2((-1 + -5b)(8 + -1b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -5b)' equal to zero and attempt to solve: Simplifying -1 + -5b = 0 Solving -1 + -5b = 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 + -5b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5b = 0 + 1 -5b = 0 + 1 Combine like terms: 0 + 1 = 1 -5b = 1 Divide each side by '-5'. b = -0.2 Simplifying b = -0.2Subproblem 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 = {-0.2, 8}
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