7m^2-55m+45=3

Solution for 7m^2-55m+45=3 equation:

Simplifying
7m2 + -55m + 45 = 3

Reorder the terms:
45 + -55m + 7m2 = 3

Solving
45 + -55m + 7m2 = 3

Solving for variable 'm'.

Reorder the terms:
45 + -3 + -55m + 7m2 = 3 + -3

Combine like terms: 45 + -3 = 42
42 + -55m + 7m2 = 3 + -3

Combine like terms: 3 + -3 = 0
42 + -55m + 7m2 = 0

Factor a trinomial.
(6 + -7m)(7 + -1m) = 0

Subproblem 1
Set the factor '(6 + -7m)' equal to zero and attempt to solve:

Simplifying
6 + -7m = 0

Solving
6 + -7m = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7m = 0 + -6
-7m = 0 + -6

Combine like terms: 0 + -6 = -6
-7m = -6

Divide each side by '-7'.
m = 0.8571428571

Simplifying
m = 0.8571428571
Subproblem 2
Set the factor '(7 + -1m)' equal to zero and attempt to solve:

Simplifying
7 + -1m = 0

Solving
7 + -1m = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1m = 0 + -7

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

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

Divide each side by '-1'.
m = 7

Simplifying
m = 7
Solution
m = {0.8571428571, 7}