10c^2+9c-1=0

Solution for 10c^2+9c-1=0 equation:

Simplifying
10c2 + 9c + -1 = 0

Reorder the terms:
-1 + 9c + 10c2 = 0

Solving
-1 + 9c + 10c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-1 + -1c)(1 + -10c) = 0

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

Simplifying
-1 + -1c = 0

Solving
-1 + -1c = 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 + -1c = 0 + 1

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

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

Divide each side by '-1'.
c = -1

Simplifying
c = -1
Subproblem 2
Set the factor '(1 + -10c)' equal to zero and attempt to solve:

Simplifying
1 + -10c = 0

Solving
1 + -10c = 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 + -10c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -10c = 0 + -1
-10c = 0 + -1

Combine like terms: 0 + -1 = -1
-10c = -1

Divide each side by '-10'.
c = 0.1

Simplifying
c = 0.1
Solution
c = {-1, 0.1}