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Simplifying 112b3 + 34b2 + -6b = 0 Reorder the terms: -6b + 34b2 + 112b3 = 0 Solving -6b + 34b2 + 112b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2b'. 2b(-3 + 17b + 56b2) = 0 Factor a trinomial. 2b((-3 + -7b)(1 + -8b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 2
Set the factor '(-3 + -7b)' equal to zero and attempt to solve: Simplifying -3 + -7b = 0 Solving -3 + -7b = 0 Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -7b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7b = 0 + 3 -7b = 0 + 3 Combine like terms: 0 + 3 = 3 -7b = 3 Divide each side by '-7'. b = -0.4285714286 Simplifying b = -0.4285714286Subproblem 3
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 = 0.125Solution
b = {0, -0.4285714286, 0.125}
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