22m^2=504-m^4

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Solution for 22m^2=504-m^4 equation: 


Simplifying
22m2 = 504 + -1m4

Solving
22m2 = 504 + -1m4

Solving for variable 'm'.

Reorder the terms:
-504 + 22m2 + m4 = 504 + -1m4 + -504 + m4

Reorder the terms:
-504 + 22m2 + m4 = 504 + -504 + -1m4 + m4

Combine like terms: 504 + -504 = 0
-504 + 22m2 + m4 = 0 + -1m4 + m4
-504 + 22m2 + m4 = -1m4 + m4

Combine like terms: -1m4 + m4 = 0
-504 + 22m2 + m4 = 0

Factor a trinomial.
(-36 + -1m2)(14 + -1m2) = 0


Subproblem 1
Set the factor '(-36 + -1m2)' equal to zero and attempt to solve:

Simplifying
-36 + -1m2 = 0

Solving
-36 + -1m2 = 0

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

Add '36' to each side of the equation.
-36 + 36 + -1m2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + -1m2 = 0 + 36
-1m2 = 0 + 36

Combine like terms: 0 + 36 = 36
-1m2 = 36

Divide each side by '-1'.
m2 = -36

Simplifying
m2 = -36

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 '(14 + -1m2)' equal to zero and attempt to solve:

Simplifying
14 + -1m2 = 0

Solving
14 + -1m2 = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1m2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1m2 = 0 + -14
-1m2 = 0 + -14

Combine like terms: 0 + -14 = -14
-1m2 = -14

Divide each side by '-1'.
m2 = 14

Simplifying
m2 = 14

Take the square root of each side:
m = {-3.741657387, 3.741657387}
Solution
m = {-3.741657387, 3.741657387}

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