(5c-15)(15c-5)=

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Solution for (5c-15)(15c-5)= equation: 


Simplifying
(5c + -15)(15c + -5) = 0

Reorder the terms:
(-15 + 5c)(15c + -5) = 0

Reorder the terms:
(-15 + 5c)(-5 + 15c) = 0

Multiply (-15 + 5c) * (-5 + 15c)
(-15(-5 + 15c) + 5c * (-5 + 15c)) = 0
((-5 * -15 + 15c * -15) + 5c * (-5 + 15c)) = 0
((75 + -225c) + 5c * (-5 + 15c)) = 0
(75 + -225c + (-5 * 5c + 15c * 5c)) = 0
(75 + -225c + (-25c + 75c2)) = 0

Combine like terms: -225c + -25c = -250c
(75 + -250c + 75c2) = 0

Solving
75 + -250c + 75c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '25'.
25(3 + -10c + 3c2) = 0

Factor a trinomial.
25((1 + -3c)(3 + -1c)) = 0

Ignore the factor 25.

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

Simplifying
1 + -3c = 0

Solving
1 + -3c = 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 + -3c = 0 + -1

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

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

Divide each side by '-3'.
c = 0.3333333333

Simplifying
c = 0.3333333333

Subproblem 2
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
Solution
c = {0.3333333333, 3}

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