4m^2-15mn+14n^2=

Solution for 4m^2-15mn+14n^2= equation:

Simplifying
4m2 + -15mn + 14n2 = 0

Reorder the terms:
-15mn + 4m2 + 14n2 = 0

Solving
-15mn + 4m2 + 14n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(m + -2n)(4m + -7n) = 0

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

Simplifying
m + -2n = 0

Solving
m + -2n = 0

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

Add '2n' to each side of the equation.
m + -2n + 2n = 0 + 2n

Combine like terms: -2n + 2n = 0
m + 0 = 0 + 2n
m = 0 + 2n
Remove the zero:
m = 2n

Simplifying
m = 2n
Subproblem 2
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
Solution
m = {2n, 1.75n}