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Simplifying 2b2 + -10b4 = 0 Solving 2b2 + -10b4 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2b2'. 2b2(1 + -5b2) = 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 '(1 + -5b2)' equal to zero and attempt to solve: Simplifying 1 + -5b2 = 0 Solving 1 + -5b2 = 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 + -5b2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5b2 = 0 + -1 -5b2 = 0 + -1 Combine like terms: 0 + -1 = -1 -5b2 = -1 Divide each side by '-5'. b2 = 0.2 Simplifying b2 = 0.2 Take the square root of each side: b = {-0.447213596, 0.447213596}Solution
b = {0, -0.447213596, 0.447213596}
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