(4m^4-m^2)+(5m^2+m^4)=

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Solution for (4m^4-m^2)+(5m^2+m^4)= equation: 


Simplifying
(4m4 + -1m2) + (5m2 + m4) = 0

Reorder the terms:
(-1m2 + 4m4) + (5m2 + m4) = 0

Remove parenthesis around (-1m2 + 4m4)
-1m2 + 4m4 + (5m2 + m4) = 0

Remove parenthesis around (5m2 + m4)
-1m2 + 4m4 + 5m2 + m4 = 0

Reorder the terms:
-1m2 + 5m2 + 4m4 + m4 = 0

Combine like terms: -1m2 + 5m2 = 4m2
4m2 + 4m4 + m4 = 0

Combine like terms: 4m4 + m4 = 5m4
4m2 + 5m4 = 0

Solving
4m2 + 5m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm2'.
m2(4 + 5m2) = 0


Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve:

Simplifying
m2 = 0

Solving
m2 = 0

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

Simplifying
m2 = 0

Take the square root of each side:
m = {0}

Subproblem 2
Set the factor '(4 + 5m2)' equal to zero and attempt to solve:

Simplifying
4 + 5m2 = 0

Solving
4 + 5m2 = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5m2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5m2 = 0 + -4
5m2 = 0 + -4

Combine like terms: 0 + -4 = -4
5m2 = -4

Divide each side by '5'.
m2 = -0.8

Simplifying
m2 = -0.8

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
m = {0}

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