2m^2-10m=5m-18

Solution for 2m^2-10m=5m-18 equation:

Simplifying
2m2 + -10m = 5m + -18

Reorder the terms:
-10m + 2m2 = 5m + -18

Reorder the terms:
-10m + 2m2 = -18 + 5m

Solving
-10m + 2m2 = -18 + 5m

Solving for variable 'm'.

Reorder the terms:
18 + -10m + -5m + 2m2 = -18 + 5m + 18 + -5m

Combine like terms: -10m + -5m = -15m
18 + -15m + 2m2 = -18 + 5m + 18 + -5m

Reorder the terms:
18 + -15m + 2m2 = -18 + 18 + 5m + -5m

Combine like terms: -18 + 18 = 0
18 + -15m + 2m2 = 0 + 5m + -5m
18 + -15m + 2m2 = 5m + -5m

Combine like terms: 5m + -5m = 0
18 + -15m + 2m2 = 0

Factor a trinomial.
(3 + -2m)(6 + -1m) = 0

Subproblem 1
Set the factor '(3 + -2m)' equal to zero and attempt to solve:

Simplifying
3 + -2m = 0

Solving
3 + -2m = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2m = 0 + -3
-2m = 0 + -3

Combine like terms: 0 + -3 = -3
-2m = -3

Divide each side by '-2'.
m = 1.5

Simplifying
m = 1.5
Subproblem 2
Set the factor '(6 + -1m)' equal to zero and attempt to solve:

Simplifying
6 + -1m = 0

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

Combine like terms: 6 + -6 = 0
0 + -1m = 0 + -6
-1m = 0 + -6

Combine like terms: 0 + -6 = -6
-1m = -6

Divide each side by '-1'.
m = 6

Simplifying
m = 6
Solution
m = {1.5, 6}