(6n+8)(8n-5)=

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Solution for (6n+8)(8n-5)= equation: 


Simplifying
(6n + 8)(8n + -5) = 0

Reorder the terms:
(8 + 6n)(8n + -5) = 0

Reorder the terms:
(8 + 6n)(-5 + 8n) = 0

Multiply (8 + 6n) * (-5 + 8n)
(8(-5 + 8n) + 6n * (-5 + 8n)) = 0
((-5 * 8 + 8n * 8) + 6n * (-5 + 8n)) = 0
((-40 + 64n) + 6n * (-5 + 8n)) = 0
(-40 + 64n + (-5 * 6n + 8n * 6n)) = 0
(-40 + 64n + (-30n + 48n2)) = 0

Combine like terms: 64n + -30n = 34n
(-40 + 34n + 48n2) = 0

Solving
-40 + 34n + 48n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-20 + 17n + 24n2) = 0

Factor a trinomial.
2((-4 + -3n)(5 + -8n)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + -3n)' equal to zero and attempt to solve:

Simplifying
-4 + -3n = 0

Solving
-4 + -3n = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3n = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3n = 0 + 4
-3n = 0 + 4

Combine like terms: 0 + 4 = 4
-3n = 4

Divide each side by '-3'.
n = -1.333333333

Simplifying
n = -1.333333333

Subproblem 2
Set the factor '(5 + -8n)' equal to zero and attempt to solve:

Simplifying
5 + -8n = 0

Solving
5 + -8n = 0

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

Add '-5' to each side of the equation.
5 + -5 + -8n = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8n = 0 + -5
-8n = 0 + -5

Combine like terms: 0 + -5 = -5
-8n = -5

Divide each side by '-8'.
n = 0.625

Simplifying
n = 0.625
Solution
n = {-1.333333333, 0.625}

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