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

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


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

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

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

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

Combine like terms: 35n + -40n = -5n
(-35 + -5n + 40n2) = 0

Solving
-35 + -5n + 40n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-7 + -1n + 8n2) = 0

Factor a trinomial.
5((-7 + -8n)(1 + -1n)) = 0

Ignore the factor 5.

Subproblem 1
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

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 = {-0.875, 1}

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