12b^4+3b^2=0

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Solution for 12b^4+3b^2=0 equation:


Simplifying
12b4 + 3b2 = 0

Reorder the terms:
3b2 + 12b4 = 0

Solving
3b2 + 12b4 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3b2'.
3b2(1 + 4b2) = 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 '(1 + 4b2)' equal to zero and attempt to solve: Simplifying 1 + 4b2 = 0 Solving 1 + 4b2 = 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 + 4b2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4b2 = 0 + -1 4b2 = 0 + -1 Combine like terms: 0 + -1 = -1 4b2 = -1 Divide each side by '4'. b2 = -0.25 Simplifying b2 = -0.25 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

b = {0}

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