(4n+8)(6n-5)=

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Solution for (4n+8)(6n-5)= equation: 


Simplifying
(4n + 8)(6n + -5) = 0

Reorder the terms:
(8 + 4n)(6n + -5) = 0

Reorder the terms:
(8 + 4n)(-5 + 6n) = 0

Multiply (8 + 4n) * (-5 + 6n)
(8(-5 + 6n) + 4n * (-5 + 6n)) = 0
((-5 * 8 + 6n * 8) + 4n * (-5 + 6n)) = 0
((-40 + 48n) + 4n * (-5 + 6n)) = 0
(-40 + 48n + (-5 * 4n + 6n * 4n)) = 0
(-40 + 48n + (-20n + 24n2)) = 0

Combine like terms: 48n + -20n = 28n
(-40 + 28n + 24n2) = 0

Solving
-40 + 28n + 24n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-10 + 7n + 6n2) = 0

Factor a trinomial.
4((-2 + -1n)(5 + -6n)) = 0

Ignore the factor 4.

Subproblem 1
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

Subproblem 2
Set the factor '(5 + -6n)' equal to zero and attempt to solve:

Simplifying
5 + -6n = 0

Solving
5 + -6n = 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 + -6n = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6n = 0 + -5
-6n = 0 + -5

Combine like terms: 0 + -5 = -5
-6n = -5

Divide each side by '-6'.
n = 0.8333333333

Simplifying
n = 0.8333333333
Solution
n = {-2, 0.8333333333}

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