(5n-2)(8n-8)=

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Solution for (5n-2)(8n-8)= equation: 


Simplifying
(5n + -2)(8n + -8) = 0

Reorder the terms:
(-2 + 5n)(8n + -8) = 0

Reorder the terms:
(-2 + 5n)(-8 + 8n) = 0

Multiply (-2 + 5n) * (-8 + 8n)
(-2(-8 + 8n) + 5n * (-8 + 8n)) = 0
((-8 * -2 + 8n * -2) + 5n * (-8 + 8n)) = 0
((16 + -16n) + 5n * (-8 + 8n)) = 0
(16 + -16n + (-8 * 5n + 8n * 5n)) = 0
(16 + -16n + (-40n + 40n2)) = 0

Combine like terms: -16n + -40n = -56n
(16 + -56n + 40n2) = 0

Solving
16 + -56n + 40n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '8'.
8(2 + -7n + 5n2) = 0

Factor a trinomial.
8((2 + -5n)(1 + -1n)) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(2 + -5n)' equal to zero and attempt to solve:

Simplifying
2 + -5n = 0

Solving
2 + -5n = 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 + -5n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5n = 0 + -2
-5n = 0 + -2

Combine like terms: 0 + -2 = -2
-5n = -2

Divide each side by '-5'.
n = 0.4

Simplifying
n = 0.4

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 = {0.4, 1}

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