7m^2-6m+4=5

Solution for 7m^2-6m+4=5 equation:

Simplifying
7m2 + -6m + 4 = 5

Reorder the terms:
4 + -6m + 7m2 = 5

Solving
4 + -6m + 7m2 = 5

Solving for variable 'm'.

Reorder the terms:
4 + -5 + -6m + 7m2 = 5 + -5

Combine like terms: 4 + -5 = -1
-1 + -6m + 7m2 = 5 + -5

Combine like terms: 5 + -5 = 0
-1 + -6m + 7m2 = 0

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

Subproblem 1
Set the factor '(-1 + -7m)' equal to zero and attempt to solve:

Simplifying
-1 + -7m = 0

Solving
-1 + -7m = 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 + -7m = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -7m = 0 + 1
-7m = 0 + 1

Combine like terms: 0 + 1 = 1
-7m = 1

Divide each side by '-7'.
m = -0.1428571429

Simplifying
m = -0.1428571429
Subproblem 2
Set the factor '(1 + -1m)' equal to zero and attempt to solve:

Simplifying
1 + -1m = 0

Solving
1 + -1m = 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 + -1m = 0 + -1

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

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

Divide each side by '-1'.
m = 1

Simplifying
m = 1
Solution
m = {-0.1428571429, 1}