(6n-6)(3n-7)=

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Solution for (6n-6)(3n-7)= equation: 


Simplifying
(6n + -6)(3n + -7) = 0

Reorder the terms:
(-6 + 6n)(3n + -7) = 0

Reorder the terms:
(-6 + 6n)(-7 + 3n) = 0

Multiply (-6 + 6n) * (-7 + 3n)
(-6(-7 + 3n) + 6n * (-7 + 3n)) = 0
((-7 * -6 + 3n * -6) + 6n * (-7 + 3n)) = 0
((42 + -18n) + 6n * (-7 + 3n)) = 0
(42 + -18n + (-7 * 6n + 3n * 6n)) = 0
(42 + -18n + (-42n + 18n2)) = 0

Combine like terms: -18n + -42n = -60n
(42 + -60n + 18n2) = 0

Solving
42 + -60n + 18n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '6'.
6(7 + -10n + 3n2) = 0

Factor a trinomial.
6((1 + -1n)(7 + -3n)) = 0

Ignore the factor 6.

Subproblem 1
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

Subproblem 2
Set the factor '(7 + -3n)' equal to zero and attempt to solve:

Simplifying
7 + -3n = 0

Solving
7 + -3n = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3n = 0 + -7
-3n = 0 + -7

Combine like terms: 0 + -7 = -7
-3n = -7

Divide each side by '-3'.
n = 2.333333333

Simplifying
n = 2.333333333
Solution
n = {1, 2.333333333}

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