25m^2n^2-k^2=

Solution for 25m^2n^2-k^2= equation:

Simplifying
25m2n2 + -1k2 = 0

Reorder the terms:
-1k2 + 25m2n2 = 0

Solving
-1k2 + 25m2n2 = 0

Solving for variable 'k'.

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

Add '-25m2n2' to each side of the equation.
-1k2 + 25m2n2 + -25m2n2 = 0 + -25m2n2

Combine like terms: 25m2n2 + -25m2n2 = 0
-1k2 + 0 = 0 + -25m2n2
-1k2 = 0 + -25m2n2
Remove the zero:
-1k2 = -25m2n2

Divide each side by '-1'.
k2 = 25m2n2

Simplifying
k2 = 25m2n2

Take the square root of each side:
k = {-5mn, 5mn}