0=-35m^2-17m-2

Solution for 0=-35m^2-17m-2 equation:

Simplifying
0 = -35m2 + -17m + -2

Reorder the terms:
0 = -2 + -17m + -35m2

Solving
0 = -2 + -17m + -35m2

Solving for variable 'm'.

Combine like terms: 0 + 2 = 2
2 + 17m + 35m2 = -2 + -17m + -35m2 + 2 + 17m + 35m2

Reorder the terms:
2 + 17m + 35m2 = -2 + 2 + -17m + 17m + -35m2 + 35m2

Combine like terms: -2 + 2 = 0
2 + 17m + 35m2 = 0 + -17m + 17m + -35m2 + 35m2
2 + 17m + 35m2 = -17m + 17m + -35m2 + 35m2

Combine like terms: -17m + 17m = 0
2 + 17m + 35m2 = 0 + -35m2 + 35m2
2 + 17m + 35m2 = -35m2 + 35m2

Combine like terms: -35m2 + 35m2 = 0
2 + 17m + 35m2 = 0

Factor a trinomial.
(2 + 7m)(1 + 5m) = 0

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

Simplifying
2 + 7m = 0

Solving
2 + 7m = 0

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

Add '-2' to each side of the equation.
2 + -2 + 7m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7m = 0 + -2
7m = 0 + -2

Combine like terms: 0 + -2 = -2
7m = -2

Divide each side by '7'.
m = -0.2857142857

Simplifying
m = -0.2857142857
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 = {-0.2857142857, -0.2}