6c^2-7c-10=

Solution for 6c^2-7c-10= equation:

Simplifying
6c2 + -7c + -10 = 0

Reorder the terms:
-10 + -7c + 6c2 = 0

Solving
-10 + -7c + 6c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-5 + -6c)(2 + -1c) = 0

Subproblem 1
Set the factor '(-5 + -6c)' equal to zero and attempt to solve:

Simplifying
-5 + -6c = 0

Solving
-5 + -6c = 0

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

Add '5' to each side of the equation.
-5 + 5 + -6c = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -6c = 0 + 5
-6c = 0 + 5

Combine like terms: 0 + 5 = 5
-6c = 5

Divide each side by '-6'.
c = -0.8333333333

Simplifying
c = -0.8333333333
Subproblem 2
Set the factor '(2 + -1c)' equal to zero and attempt to solve:

Simplifying
2 + -1c = 0

Solving
2 + -1c = 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 + -1c = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1c = 0 + -2
-1c = 0 + -2

Combine like terms: 0 + -2 = -2
-1c = -2

Divide each side by '-1'.
c = 2

Simplifying
c = 2
Solution
c = {-0.8333333333, 2}