(7n-8)(6n-2)=

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Solution for (7n-8)(6n-2)= equation: 


Simplifying
(7n + -8)(6n + -2) = 0

Reorder the terms:
(-8 + 7n)(6n + -2) = 0

Reorder the terms:
(-8 + 7n)(-2 + 6n) = 0

Multiply (-8 + 7n) * (-2 + 6n)
(-8(-2 + 6n) + 7n * (-2 + 6n)) = 0
((-2 * -8 + 6n * -8) + 7n * (-2 + 6n)) = 0
((16 + -48n) + 7n * (-2 + 6n)) = 0
(16 + -48n + (-2 * 7n + 6n * 7n)) = 0
(16 + -48n + (-14n + 42n2)) = 0

Combine like terms: -48n + -14n = -62n
(16 + -62n + 42n2) = 0

Solving
16 + -62n + 42n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + -31n + 21n2) = 0

Factor a trinomial.
2((1 + -3n)(8 + -7n)) = 0

Ignore the factor 2.

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 '(8 + -7n)' equal to zero and attempt to solve:

Simplifying
8 + -7n = 0

Solving
8 + -7n = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7n = 0 + -8
-7n = 0 + -8

Combine like terms: 0 + -8 = -8
-7n = -8

Divide each side by '-7'.
n = 1.142857143

Simplifying
n = 1.142857143
Solution
n = {0.3333333333, 1.142857143}

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