-m^2+2m=-35

Solution for -m^2+2m=-35 equation:

Simplifying
-1m2 + 2m = -35

Reorder the terms:
2m + -1m2 = -35

Solving
2m + -1m2 = -35

Solving for variable 'm'.

Reorder the terms:
35 + 2m + -1m2 = -35 + 35

Combine like terms: -35 + 35 = 0
35 + 2m + -1m2 = 0

Factor a trinomial.
(7 + -1m)(5 + m) = 0

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

Simplifying
5 + m = 0

Solving
5 + m = 0

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

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

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

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

Simplifying
m = -5
Solution
m = {7, -5}