(8m-8n)(4m-7n)=

Solution for (8m-8n)(4m-7n)= equation:

Simplifying
(8m + -8n)(4m + -7n) = 0

Multiply (8m + -8n) * (4m + -7n)
(8m * (4m + -7n) + -8n * (4m + -7n)) = 0
((4m * 8m + -7n * 8m) + -8n * (4m + -7n)) = 0

Reorder the terms:
((-56mn + 32m2) + -8n * (4m + -7n)) = 0
((-56mn + 32m2) + -8n * (4m + -7n)) = 0
(-56mn + 32m2 + (4m * -8n + -7n * -8n)) = 0
(-56mn + 32m2 + (-32mn + 56n2)) = 0

Reorder the terms:
(-56mn + -32mn + 32m2 + 56n2) = 0

Combine like terms: -56mn + -32mn = -88mn
(-88mn + 32m2 + 56n2) = 0

Solving
-88mn + 32m2 + 56n2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-11mn + 4m2 + 7n2) = 0

Factor a trinomial.
8((4m + -7n)(m + -1n)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(4m + -7n)' equal to zero and attempt to solve:

Simplifying
4m + -7n = 0

Solving
4m + -7n = 0

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

Add '7n' to each side of the equation.
4m + -7n + 7n = 0 + 7n

Combine like terms: -7n + 7n = 0
4m + 0 = 0 + 7n
4m = 0 + 7n
Remove the zero:
4m = 7n

Divide each side by '4'.
m = 1.75n

Simplifying
m = 1.75n
Subproblem 2
Set the factor '(m + -1n)' equal to zero and attempt to solve:

Simplifying
m + -1n = 0

Solving
m + -1n = 0

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

Add 'n' to each side of the equation.
m + -1n + n = 0 + n

Combine like terms: -1n + n = 0
m + 0 = 0 + n
m = 0 + n
Remove the zero:
m = n

Simplifying
m = n
Solution
m = {1.75n, n}