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Simplifying 12b2 + -4b4 = 0 Solving 12b2 + -4b4 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '4b2'. 4b2(3 + -1b2) = 0 Ignore the factor 4.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 '(3 + -1b2)' equal to zero and attempt to solve: Simplifying 3 + -1b2 = 0 Solving 3 + -1b2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1b2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1b2 = 0 + -3 -1b2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1b2 = -3 Divide each side by '-1'. b2 = 3 Simplifying b2 = 3 Take the square root of each side: b = {-1.732050808, 1.732050808}Solution
b = {0, -1.732050808, 1.732050808}
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