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Simplifying 2b4 + -4b2 = 0 Reorder the terms: -4b2 + 2b4 = 0 Solving -4b2 + 2b4 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2b2'. 2b2(-2 + b2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'b2' equal to zero and attempt to solve: Simplifying b2 = 0 Solving b2 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b2 = 0 Take the square root of each side: b = {0}Subproblem 2
Set the factor '(-2 + b2)' equal to zero and attempt to solve: Simplifying -2 + b2 = 0 Solving -2 + b2 = 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 + b2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + b2 = 0 + 2 b2 = 0 + 2 Combine like terms: 0 + 2 = 2 b2 = 2 Simplifying b2 = 2 Take the square root of each side: b = {-1.414213562, 1.414213562}Solution
b = {0, -1.414213562, 1.414213562}
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