13c^2=-38c+3

Solution for 13c^2=-38c+3 equation:

Simplifying
13c2 = -38c + 3

Reorder the terms:
13c2 = 3 + -38c

Solving
13c2 = 3 + -38c

Solving for variable 'c'.

Reorder the terms:
-3 + 38c + 13c2 = 3 + -38c + -3 + 38c

Reorder the terms:
-3 + 38c + 13c2 = 3 + -3 + -38c + 38c

Combine like terms: 3 + -3 = 0
-3 + 38c + 13c2 = 0 + -38c + 38c
-3 + 38c + 13c2 = -38c + 38c

Combine like terms: -38c + 38c = 0
-3 + 38c + 13c2 = 0

Factor a trinomial.
(-3 + -1c)(1 + -13c) = 0

Subproblem 1
Set the factor '(-3 + -1c)' equal to zero and attempt to solve:

Simplifying
-3 + -1c = 0

Solving
-3 + -1c = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1c = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1c = 0 + 3
-1c = 0 + 3

Combine like terms: 0 + 3 = 3
-1c = 3

Divide each side by '-1'.
c = -3

Simplifying
c = -3
Subproblem 2
Set the factor '(1 + -13c)' equal to zero and attempt to solve:

Simplifying
1 + -13c = 0

Solving
1 + -13c = 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 + -13c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -13c = 0 + -1
-13c = 0 + -1

Combine like terms: 0 + -1 = -1
-13c = -1

Divide each side by '-13'.
c = 0.07692307692

Simplifying
c = 0.07692307692
Solution
c = {-3, 0.07692307692}