(5n-5)(6n-2)=

Solution for (5n-5)(6n-2)= equation:

Simplifying
(5n + -5)(6n + -2) = 0

Reorder the terms:
(-5 + 5n)(6n + -2) = 0

Reorder the terms:
(-5 + 5n)(-2 + 6n) = 0

Multiply (-5 + 5n) * (-2 + 6n)
(-5(-2 + 6n) + 5n * (-2 + 6n)) = 0
((-2 * -5 + 6n * -5) + 5n * (-2 + 6n)) = 0
((10 + -30n) + 5n * (-2 + 6n)) = 0
(10 + -30n + (-2 * 5n + 6n * 5n)) = 0
(10 + -30n + (-10n + 30n2)) = 0

Combine like terms: -30n + -10n = -40n
(10 + -40n + 30n2) = 0

Solving
10 + -40n + 30n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '10'.
10(1 + -4n + 3n2) = 0

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

Ignore the factor 10.
Subproblem 1
Set the factor '(1 + -3n)' equal to zero and attempt to solve:

Simplifying
1 + -3n = 0

Solving
1 + -3n = 0

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

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

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

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

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

Simplifying
n = 0.3333333333
Subproblem 2
Set the factor '(1 + -1n)' equal to zero and attempt to solve:

Simplifying
1 + -1n = 0

Solving
1 + -1n = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1n = 0 + -1
-1n = 0 + -1

Combine like terms: 0 + -1 = -1
-1n = -1

Divide each side by '-1'.
n = 1

Simplifying
n = 1
Solution
n = {0.3333333333, 1}