(5c-30)(30c-5)=0

Solution for (5c-30)(30c-5)=0 equation:

Simplifying
(5c + -30)(30c + -5) = 0

Reorder the terms:
(-30 + 5c)(30c + -5) = 0

Reorder the terms:
(-30 + 5c)(-5 + 30c) = 0

Multiply (-30 + 5c) * (-5 + 30c)
(-30(-5 + 30c) + 5c * (-5 + 30c)) = 0
((-5 * -30 + 30c * -30) + 5c * (-5 + 30c)) = 0
((150 + -900c) + 5c * (-5 + 30c)) = 0
(150 + -900c + (-5 * 5c + 30c * 5c)) = 0
(150 + -900c + (-25c + 150c2)) = 0

Combine like terms: -900c + -25c = -925c
(150 + -925c + 150c2) = 0

Solving
150 + -925c + 150c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '25'.
25(6 + -37c + 6c2) = 0

Factor a trinomial.
25((1 + -6c)(6 + -1c)) = 0

Ignore the factor 25.
Subproblem 1
Set the factor '(1 + -6c)' equal to zero and attempt to solve:

Simplifying
1 + -6c = 0

Solving
1 + -6c = 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 + -6c = 0 + -1

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

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

Divide each side by '-6'.
c = 0.1666666667

Simplifying
c = 0.1666666667
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 = {0.1666666667, 6}