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Simplifying 12b3 + -8b = 0 Reorder the terms: -8b + 12b3 = 0 Solving -8b + 12b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '4b'. 4b(-2 + 3b2) = 0 Ignore the factor 4.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 '(-2 + 3b2)' equal to zero and attempt to solve: Simplifying -2 + 3b2 = 0 Solving -2 + 3b2 = 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 + 3b2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3b2 = 0 + 2 3b2 = 0 + 2 Combine like terms: 0 + 2 = 2 3b2 = 2 Divide each side by '3'. b2 = 0.6666666667 Simplifying b2 = 0.6666666667 Take the square root of each side: b = {-0.816496581, 0.816496581}Solution
b = {0, -0.816496581, 0.816496581}
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