(7n-8)(4n-8)=

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Solution for (7n-8)(4n-8)= equation: 


Simplifying
(7n + -8)(4n + -8) = 0

Reorder the terms:
(-8 + 7n)(4n + -8) = 0

Reorder the terms:
(-8 + 7n)(-8 + 4n) = 0

Multiply (-8 + 7n) * (-8 + 4n)
(-8(-8 + 4n) + 7n * (-8 + 4n)) = 0
((-8 * -8 + 4n * -8) + 7n * (-8 + 4n)) = 0
((64 + -32n) + 7n * (-8 + 4n)) = 0
(64 + -32n + (-8 * 7n + 4n * 7n)) = 0
(64 + -32n + (-56n + 28n2)) = 0

Combine like terms: -32n + -56n = -88n
(64 + -88n + 28n2) = 0

Solving
64 + -88n + 28n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '4'.
4(16 + -22n + 7n2) = 0

Factor a trinomial.
4((8 + -7n)(2 + -1n)) = 0

Ignore the factor 4.

Subproblem 1
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

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

Simplifying
2 + -1n = 0

Solving
2 + -1n = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1n = 0 + -2
-1n = 0 + -2

Combine like terms: 0 + -2 = -2
-1n = -2

Divide each side by '-1'.
n = 2

Simplifying
n = 2
Solution
n = {1.142857143, 2}

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