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Simplifying 8b3 = 2b Solving 8b3 = 2b Solving for variable 'b'. Reorder the terms: -2b + 8b3 = 2b + -2b Combine like terms: 2b + -2b = 0 -2b + 8b3 = 0 Factor out the Greatest Common Factor (GCF), '2b'. 2b(-1 + 4b2) = 0 Factor a difference between two squares. 2b((1 + 2b)(-1 + 2b)) = 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 '(1 + 2b)' equal to zero and attempt to solve: Simplifying 1 + 2b = 0 Solving 1 + 2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2b = 0 + -1 2b = 0 + -1 Combine like terms: 0 + -1 = -1 2b = -1 Divide each side by '2'. b = -0.5 Simplifying b = -0.5Subproblem 3
Set the factor '(-1 + 2b)' equal to zero and attempt to solve: Simplifying -1 + 2b = 0 Solving -1 + 2b = 0 Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2b = 0 + 1 2b = 0 + 1 Combine like terms: 0 + 1 = 1 2b = 1 Divide each side by '2'. b = 0.5 Simplifying b = 0.5Solution
b = {0, -0.5, 0.5}
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