(5m+7n)(5m-7n)=

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

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

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

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

Reorder the terms:
(-35mn + 35mn + 25m2 + -49n2) = 0

Combine like terms: -35mn + 35mn = 0
(0 + 25m2 + -49n2) = 0
(25m2 + -49n2) = 0

Solving
25m2 + -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.
25m2 + -49n2 + 49n2 = 0 + 49n2

Combine like terms: -49n2 + 49n2 = 0
25m2 + 0 = 0 + 49n2
25m2 = 0 + 49n2
Remove the zero:
25m2 = 49n2

Divide each side by '25'.
m2 = 1.96n2

Simplifying
m2 = 1.96n2

Take the square root of each side:
m = {-1.4n, 1.4n}