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Simplifying 12b2 + -6b4 = 0 Solving 12b2 + -6b4 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '6b2'. 6b2(2 + -1b2) = 0 Ignore the factor 6.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 + -1b2)' equal to zero and attempt to solve: Simplifying 2 + -1b2 = 0 Solving 2 + -1b2 = 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 + -1b2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1b2 = 0 + -2 -1b2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1b2 = -2 Divide each side by '-1'. 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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