m^4+m^2-72=0

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Solution for m^4+m^2-72=0 equation: 


Simplifying
m4 + m2 + -72 = 0

Reorder the terms:
-72 + m2 + m4 = 0

Solving
-72 + m2 + m4 = 0

Solving for variable 'm'.

Factor a trinomial.
(-9 + -1m2)(8 + -1m2) = 0


Subproblem 1
Set the factor '(-9 + -1m2)' equal to zero and attempt to solve:

Simplifying
-9 + -1m2 = 0

Solving
-9 + -1m2 = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1m2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1m2 = 0 + 9
-1m2 = 0 + 9

Combine like terms: 0 + 9 = 9
-1m2 = 9

Divide each side by '-1'.
m2 = -9

Simplifying
m2 = -9

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 '(8 + -1m2)' equal to zero and attempt to solve:

Simplifying
8 + -1m2 = 0

Solving
8 + -1m2 = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1m2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1m2 = 0 + -8
-1m2 = 0 + -8

Combine like terms: 0 + -8 = -8
-1m2 = -8

Divide each side by '-1'.
m2 = 8

Simplifying
m2 = 8

Take the square root of each side:
m = {-2.828427125, 2.828427125}
Solution
m = {-2.828427125, 2.828427125}

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