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Simplifying 6b + -8b3 = 0 Solving 6b + -8b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2b'. 2b(3 + -4b2) = 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 + -4b2)' equal to zero and attempt to solve: Simplifying 3 + -4b2 = 0 Solving 3 + -4b2 = 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 + -4b2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4b2 = 0 + -3 -4b2 = 0 + -3 Combine like terms: 0 + -3 = -3 -4b2 = -3 Divide each side by '-4'. b2 = 0.75 Simplifying b2 = 0.75 Take the square root of each side: b = {-0.866025404, 0.866025404}Solution
b = {0, -0.866025404, 0.866025404}
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