8c^2-34c-9=0

Solution for 8c^2-34c-9=0 equation:

Simplifying
8c2 + -34c + -9 = 0

Reorder the terms:
-9 + -34c + 8c2 = 0

Solving
-9 + -34c + 8c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-1 + -4c)(9 + -2c) = 0

Subproblem 1
Set the factor '(-1 + -4c)' equal to zero and attempt to solve:

Simplifying
-1 + -4c = 0

Solving
-1 + -4c = 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 + -4c = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4c = 0 + 1
-4c = 0 + 1

Combine like terms: 0 + 1 = 1
-4c = 1

Divide each side by '-4'.
c = -0.25

Simplifying
c = -0.25
Subproblem 2
Set the factor '(9 + -2c)' equal to zero and attempt to solve:

Simplifying
9 + -2c = 0

Solving
9 + -2c = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2c = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2c = 0 + -9
-2c = 0 + -9

Combine like terms: 0 + -9 = -9
-2c = -9

Divide each side by '-2'.
c = 4.5

Simplifying
c = 4.5
Solution
c = {-0.25, 4.5}