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Simplifying 15b2 + -3b4 = 0 Solving 15b2 + -3b4 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '3b2'. 3b2(5 + -1b2) = 0 Ignore the factor 3.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 '(5 + -1b2)' equal to zero and attempt to solve: Simplifying 5 + -1b2 = 0 Solving 5 + -1b2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1b2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1b2 = 0 + -5 -1b2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1b2 = -5 Divide each side by '-1'. b2 = 5 Simplifying b2 = 5 Take the square root of each side: b = {-2.236067978, 2.236067978}Solution
b = {0, -2.236067978, 2.236067978}
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