m^4-16m^2+63=0

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Solution for m^4-16m^2+63=0 equation: 


Simplifying
m4 + -16m2 + 63 = 0

Reorder the terms:
63 + -16m2 + m4 = 0

Solving
63 + -16m2 + m4 = 0

Solving for variable 'm'.

Factor a trinomial.
(7 + -1m2)(9 + -1m2) = 0

Factor a difference between two squares.
(7 + -1m2)((3 + m)(3 + -1m)) = 0


Subproblem 1
Set the factor '(7 + -1m2)' equal to zero and attempt to solve:

Simplifying
7 + -1m2 = 0

Solving
7 + -1m2 = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1m2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1m2 = 0 + -7
-1m2 = 0 + -7

Combine like terms: 0 + -7 = -7
-1m2 = -7

Divide each side by '-1'.
m2 = 7

Simplifying
m2 = 7

Take the square root of each side:
m = {-2.645751311, 2.645751311}

Subproblem 2
Set the factor '(3 + m)' equal to zero and attempt to solve:

Simplifying
3 + m = 0

Solving
3 + m = 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 + m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + m = 0 + -3
m = 0 + -3

Combine like terms: 0 + -3 = -3
m = -3

Simplifying
m = -3

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

Simplifying
3 + -1m = 0

Solving
3 + -1m = 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 + -1m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1m = 0 + -3
-1m = 0 + -3

Combine like terms: 0 + -3 = -3
-1m = -3

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Solution
m = {-2.645751311, 2.645751311, -3, 3}

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