4c^2+6=25c

Solution for 4c^2+6=25c equation:

Simplifying
4c2 + 6 = 25c

Reorder the terms:
6 + 4c2 = 25c

Solving
6 + 4c2 = 25c

Solving for variable 'c'.

Reorder the terms:
6 + -25c + 4c2 = 25c + -25c

Combine like terms: 25c + -25c = 0
6 + -25c + 4c2 = 0

Factor a trinomial.
(1 + -4c)(6 + -1c) = 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 '(6 + -1c)' equal to zero and attempt to solve:

Simplifying
6 + -1c = 0

Solving
6 + -1c = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1c = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1c = 0 + -6
-1c = 0 + -6

Combine like terms: 0 + -6 = -6
-1c = -6

Divide each side by '-1'.
c = 6

Simplifying
c = 6
Solution
c = {0.25, 6}