m^4=3m^2+10

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Solution for m^4=3m^2+10 equation: 


Simplifying
m4 = 3m2 + 10

Reorder the terms:
m4 = 10 + 3m2

Solving
m4 = 10 + 3m2

Solving for variable 'm'.

Reorder the terms:
-10 + -3m2 + m4 = 10 + 3m2 + -10 + -3m2

Reorder the terms:
-10 + -3m2 + m4 = 10 + -10 + 3m2 + -3m2

Combine like terms: 10 + -10 = 0
-10 + -3m2 + m4 = 0 + 3m2 + -3m2
-10 + -3m2 + m4 = 3m2 + -3m2

Combine like terms: 3m2 + -3m2 = 0
-10 + -3m2 + m4 = 0

Factor a trinomial.
(-2 + -1m2)(5 + -1m2) = 0


Subproblem 1
Set the factor '(-2 + -1m2)' equal to zero and attempt to solve:

Simplifying
-2 + -1m2 = 0

Solving
-2 + -1m2 = 0

Move all terms containing m to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + -1m2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1m2 = 0 + 2
-1m2 = 0 + 2

Combine like terms: 0 + 2 = 2
-1m2 = 2

Divide each side by '-1'.
m2 = -2

Simplifying
m2 = -2

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 '(5 + -1m2)' equal to zero and attempt to solve:

Simplifying
5 + -1m2 = 0

Solving
5 + -1m2 = 0

Move all terms containing m to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -1m2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1m2 = 0 + -5
-1m2 = 0 + -5

Combine like terms: 0 + -5 = -5
-1m2 = -5

Divide each side by '-1'.
m2 = 5

Simplifying
m2 = 5

Take the square root of each side:
m = {-2.236067978, 2.236067978}
Solution
m = {-2.236067978, 2.236067978}

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