2+9c-35c^2=0

Solution for 2+9c-35c^2=0 equation:

Simplifying
2 + 9c + -35c2 = 0

Solving
2 + 9c + -35c2 = 0

Solving for variable 'c'.

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

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

Simplifying
2 + -5c = 0

Solving
2 + -5c = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5c = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5c = 0 + -2
-5c = 0 + -2

Combine like terms: 0 + -2 = -2
-5c = -2

Divide each side by '-5'.
c = 0.4

Simplifying
c = 0.4
Subproblem 2
Set the factor '(1 + 7c)' equal to zero and attempt to solve:

Simplifying
1 + 7c = 0

Solving
1 + 7c = 0

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

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

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

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

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

Simplifying
c = -0.1428571429
Solution
c = {0.4, -0.1428571429}