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Simplifying 7b3 + 17b2 + 6b = 0 Reorder the terms: 6b + 17b2 + 7b3 = 0 Solving 6b + 17b2 + 7b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(6 + 17b + 7b2) = 0 Factor a trinomial. b((2 + b)(3 + 7b)) = 0Subproblem 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 '(2 + b)' equal to zero and attempt to solve: Simplifying 2 + b = 0 Solving 2 + b = 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 + b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + b = 0 + -2 b = 0 + -2 Combine like terms: 0 + -2 = -2 b = -2 Simplifying b = -2Subproblem 3
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 = -0.4285714286Solution
b = {0, -2, -0.4285714286}
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