-5m*m+6m-1=0

Solution for -5m*m+6m-1=0 equation:

Simplifying
-5m * m + 6m + -1 = 0

Multiply m * m
-5m2 + 6m + -1 = 0

Reorder the terms:
-1 + 6m + -5m2 = 0

Solving
-1 + 6m + -5m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-1 + m)(1 + -5m) = 0

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

Simplifying
-1 + m = 0

Solving
-1 + m = 0

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

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

Combine like terms: -1 + 1 = 0
0 + m = 0 + 1
m = 0 + 1

Combine like terms: 0 + 1 = 1
m = 1

Simplifying
m = 1
Subproblem 2
Set the factor '(1 + -5m)' equal to zero and attempt to solve:

Simplifying
1 + -5m = 0

Solving
1 + -5m = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5m = 0 + -1
-5m = 0 + -1

Combine like terms: 0 + -1 = -1
-5m = -1

Divide each side by '-5'.
m = 0.2

Simplifying
m = 0.2
Solution
m = {1, 0.2}