m^4-9m^2+8=0

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Solution for m^4-9m^2+8=0 equation: 


Simplifying
m4 + -9m2 + 8 = 0

Reorder the terms:
8 + -9m2 + m4 = 0

Solving
8 + -9m2 + m4 = 0

Solving for variable 'm'.

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

Factor a difference between two squares.
((1 + m)(1 + -1m))(8 + -1m2) = 0


Subproblem 1
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}

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

Simplifying
1 + m = 0

Solving
1 + m = 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 + m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + m = 0 + -1
m = 0 + -1

Combine like terms: 0 + -1 = -1
m = -1

Simplifying
m = -1

Subproblem 3
Set the factor '(1 + -1m)' equal to zero and attempt to solve:

Simplifying
1 + -1m = 0

Solving
1 + -1m = 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 + -1m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1m = 0 + -1
-1m = 0 + -1

Combine like terms: 0 + -1 = -1
-1m = -1

Divide each side by '-1'.
m = 1

Simplifying
m = 1
Solution
m = {-2.828427125, 2.828427125, -1, 1}

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