m^4+4m^2+3=0

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Solution for m^4+4m^2+3=0 equation:


Simplifying
m4 + 4m2 + 3 = 0

Reorder the terms:
3 + 4m2 + m4 = 0

Solving
3 + 4m2 + m4 = 0

Solving for variable 'm'.

Factor a trinomial.
(3 + m2)(1 + m2) = 0

Subproblem 1

Set the factor '(3 + m2)' equal to zero and attempt to solve: Simplifying 3 + m2 = 0 Solving 3 + m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + m2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + m2 = 0 + -3 m2 = 0 + -3 Combine like terms: 0 + -3 = -3 m2 = -3 Simplifying m2 = -3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(1 + m2)' equal to zero and attempt to solve: Simplifying 1 + m2 = 0 Solving 1 + m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + m2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + m2 = 0 + -1 m2 = 0 + -1 Combine like terms: 0 + -1 = -1 m2 = -1 Simplifying m2 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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