15c^2-65c+50=

Solution for 15c^2-65c+50= equation:

Simplifying
15c2 + -65c + 50 = 0

Reorder the terms:
50 + -65c + 15c2 = 0

Solving
50 + -65c + 15c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '5'.
5(10 + -13c + 3c2) = 0

Factor a trinomial.
5((1 + -1c)(10 + -3c)) = 0

Ignore the factor 5.
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 '(10 + -3c)' equal to zero and attempt to solve:

Simplifying
10 + -3c = 0

Solving
10 + -3c = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3c = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3c = 0 + -10
-3c = 0 + -10

Combine like terms: 0 + -10 = -10
-3c = -10

Divide each side by '-3'.
c = 3.333333333

Simplifying
c = 3.333333333
Solution
c = {1, 3.333333333}