4m^2+4mn+3mn+3n^2=

Solution for 4m^2+4mn+3mn+3n^2= equation:

Simplifying
4m2 + 4mn + 3mn + 3n2 = 0

Reorder the terms:
4mn + 3mn + 4m2 + 3n2 = 0

Combine like terms: 4mn + 3mn = 7mn
7mn + 4m2 + 3n2 = 0

Solving
7mn + 4m2 + 3n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(4m + 3n)(m + n) = 0

Subproblem 1
Set the factor '(4m + 3n)' equal to zero and attempt to solve:

Simplifying
4m + 3n = 0

Solving
4m + 3n = 0

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

Add '-3n' to each side of the equation.
4m + 3n + -3n = 0 + -3n

Combine like terms: 3n + -3n = 0
4m + 0 = 0 + -3n
4m = 0 + -3n
Remove the zero:
4m = -3n

Divide each side by '4'.
m = -0.75n

Simplifying
m = -0.75n
Subproblem 2
Set the factor '(m + n)' equal to zero and attempt to solve:

Simplifying
m + n = 0

Solving
m + n = 0

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

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

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

Simplifying
m = -1n
Solution
m = {-0.75n, -1n}