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Simplifying 8b3 + -12b = 0 Reorder the terms: -12b + 8b3 = 0 Solving -12b + 8b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '4b'. 4b(-3 + 2b2) = 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 '(-3 + 2b2)' equal to zero and attempt to solve: Simplifying -3 + 2b2 = 0 Solving -3 + 2b2 = 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 + 2b2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2b2 = 0 + 3 2b2 = 0 + 3 Combine like terms: 0 + 3 = 3 2b2 = 3 Divide each side by '2'. b2 = 1.5 Simplifying b2 = 1.5 Take the square root of each side: b = {-1.224744871, 1.224744871}Solution
b = {0, -1.224744871, 1.224744871}
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