(5m^2+7n)(5m^2-7n)=0

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Solution for (5m^2+7n)(5m^2-7n)=0 equation: 


Simplifying
(5m2 + 7n)(5m2 + -7n) = 0

Multiply (5m2 + 7n) * (5m2 + -7n)
(5m2 * (5m2 + -7n) + 7n * (5m2 + -7n)) = 0
((5m2 * 5m2 + -7n * 5m2) + 7n * (5m2 + -7n)) = 0

Reorder the terms:
((-35m2n + 25m4) + 7n * (5m2 + -7n)) = 0
((-35m2n + 25m4) + 7n * (5m2 + -7n)) = 0
(-35m2n + 25m4 + (5m2 * 7n + -7n * 7n)) = 0
(-35m2n + 25m4 + (35m2n + -49n2)) = 0

Reorder the terms:
(-35m2n + 35m2n + 25m4 + -49n2) = 0

Combine like terms: -35m2n + 35m2n = 0
(0 + 25m4 + -49n2) = 0
(25m4 + -49n2) = 0

Solving
25m4 + -49n2 = 0

Solving for variable 'm'.

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

Add '49n2' to each side of the equation.
25m4 + -49n2 + 49n2 = 0 + 49n2

Combine like terms: -49n2 + 49n2 = 0
25m4 + 0 = 0 + 49n2
25m4 = 0 + 49n2
Remove the zero:
25m4 = 49n2

Divide each side by '25'.
m4 = 1.96n2

Simplifying
m4 = 1.96n2

Combine like terms: 1.96n2 + -1.96n2 = 0.00
m4 + -1.96n2 = 0.00

Factor a difference between two squares.
(m2 + 1.4n)(m2 + -1.4n) = 0.00


Subproblem 1
Set the factor '(m2 + 1.4n)' equal to zero and attempt to solve:

Simplifying
m2 + 1.4n = 0

Solving
m2 + 1.4n = 0

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

Add '-1.4n' to each side of the equation.
m2 + 1.4n + -1.4n = 0 + -1.4n

Combine like terms: 1.4n + -1.4n = 0.0
m2 + 0.0 = 0 + -1.4n
m2 = 0 + -1.4n
Remove the zero:
m2 = -1.4n

Simplifying
m2 = -1.4n

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 '(m2 + -1.4n)' equal to zero and attempt to solve:

Simplifying
m2 + -1.4n = 0

Solving
m2 + -1.4n = 0

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

Add '1.4n' to each side of the equation.
m2 + -1.4n + 1.4n = 0 + 1.4n

Combine like terms: -1.4n + 1.4n = 0.0
m2 + 0.0 = 0 + 1.4n
m2 = 0 + 1.4n
Remove the zero:
m2 = 1.4n

Simplifying
m2 = 1.4n

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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