(6n+5)(8n-7)=

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Solution for (6n+5)(8n-7)= equation: 


Simplifying
(6n + 5)(8n + -7) = 0

Reorder the terms:
(5 + 6n)(8n + -7) = 0

Reorder the terms:
(5 + 6n)(-7 + 8n) = 0

Multiply (5 + 6n) * (-7 + 8n)
(5(-7 + 8n) + 6n * (-7 + 8n)) = 0
((-7 * 5 + 8n * 5) + 6n * (-7 + 8n)) = 0
((-35 + 40n) + 6n * (-7 + 8n)) = 0
(-35 + 40n + (-7 * 6n + 8n * 6n)) = 0
(-35 + 40n + (-42n + 48n2)) = 0

Combine like terms: 40n + -42n = -2n
(-35 + -2n + 48n2) = 0

Solving
-35 + -2n + 48n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-5 + -6n)(7 + -8n) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(7 + -8n)' equal to zero and attempt to solve:

Simplifying
7 + -8n = 0

Solving
7 + -8n = 0

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

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

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

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

Divide each side by '-8'.
n = 0.875

Simplifying
n = 0.875
Solution
n = {-0.8333333333, 0.875}

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