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Simplifying b4 + -40b2 = 0 Reorder the terms: -40b2 + b4 = 0 Solving -40b2 + b4 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b2'. b2(-40 + b2) = 0Subproblem 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 '(-40 + b2)' equal to zero and attempt to solve: Simplifying -40 + b2 = 0 Solving -40 + b2 = 0 Move all terms containing b to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + b2 = 0 + 40 Combine like terms: -40 + 40 = 0 0 + b2 = 0 + 40 b2 = 0 + 40 Combine like terms: 0 + 40 = 40 b2 = 40 Simplifying b2 = 40 Take the square root of each side: b = {-6.32455532, 6.32455532}Solution
b = {0, -6.32455532, 6.32455532}
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