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Simplifying 49b3 + -84b2 + 27b = 0 Reorder the terms: 27b + -84b2 + 49b3 = 0 Solving 27b + -84b2 + 49b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(27 + -84b + 49b2) = 0 Factor a trinomial. b((3 + -7b)(9 + -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 '(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 '(9 + -7b)' equal to zero and attempt to solve: Simplifying 9 + -7b = 0 Solving 9 + -7b = 0 Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7b = 0 + -9 -7b = 0 + -9 Combine like terms: 0 + -9 = -9 -7b = -9 Divide each side by '-7'. b = 1.285714286 Simplifying b = 1.285714286Solution
b = {0, 0.4285714286, 1.285714286}
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