m^2-mu-56u^2=

Solution for m^2-mu-56u^2= equation:

Simplifying
m2 + -1mu + -56u2 = 0

Reorder the terms:
-1mu + m2 + -56u2 = 0

Solving
-1mu + m2 + -56u2 = 0

Solving for variable 'm'.

Factor a trinomial.
(m + -8u)(m + 7u) = 0

Subproblem 1
Set the factor '(m + -8u)' equal to zero and attempt to solve:

Simplifying
m + -8u = 0

Solving
m + -8u = 0

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

Add '8u' to each side of the equation.
m + -8u + 8u = 0 + 8u

Combine like terms: -8u + 8u = 0
m + 0 = 0 + 8u
m = 0 + 8u
Remove the zero:
m = 8u

Simplifying
m = 8u
Subproblem 2
Set the factor '(m + 7u)' equal to zero and attempt to solve:

Simplifying
m + 7u = 0

Solving
m + 7u = 0

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

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

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

Simplifying
m = -7u
Solution
m = {8u, -7u}