4m^4p^2+3m^4p^2-5m^2p^4=0

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Solution for 4m^4p^2+3m^4p^2-5m^2p^4=0 equation: 


Simplifying
4m4p2 + 3m4p2 + -5m2p4 = 0

Reorder the terms:
-5m2p4 + 4m4p2 + 3m4p2 = 0

Combine like terms: 4m4p2 + 3m4p2 = 7m4p2
-5m2p4 + 7m4p2 = 0

Solving
-5m2p4 + 7m4p2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm2p2'.
m2p2(-5p2 + 7m2) = 0


Subproblem 1
Set the factor 'm2p2' equal to zero and attempt to solve:

Simplifying
m2p2 = 0

Solving
m2p2 = 0

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

Simplifying
m2p2 = 0

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 '(-5p2 + 7m2)' equal to zero and attempt to solve:

Simplifying
-5p2 + 7m2 = 0

Reorder the terms:
7m2 + -5p2 = 0

Solving
7m2 + -5p2 = 0

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

Add '5p2' to each side of the equation.
7m2 + -5p2 + 5p2 = 0 + 5p2

Combine like terms: -5p2 + 5p2 = 0
7m2 + 0 = 0 + 5p2
7m2 = 0 + 5p2
Remove the zero:
7m2 = 5p2

Divide each side by '7'.
m2 = 0.7142857143p2

Simplifying
m2 = 0.7142857143p2

Take the square root of each side:
m = {-0.845154255p, 0.845154255p}
Solution
m = {-0.845154255p, 0.845154255p}

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