8n^2-7n=8n-7

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Solution for 8n^2-7n=8n-7 equation: 


Simplifying
8n2 + -7n = 8n + -7

Reorder the terms:
-7n + 8n2 = 8n + -7

Reorder the terms:
-7n + 8n2 = -7 + 8n

Solving
-7n + 8n2 = -7 + 8n

Solving for variable 'n'.

Reorder the terms:
7 + -7n + -8n + 8n2 = -7 + 8n + 7 + -8n

Combine like terms: -7n + -8n = -15n
7 + -15n + 8n2 = -7 + 8n + 7 + -8n

Reorder the terms:
7 + -15n + 8n2 = -7 + 7 + 8n + -8n

Combine like terms: -7 + 7 = 0
7 + -15n + 8n2 = 0 + 8n + -8n
7 + -15n + 8n2 = 8n + -8n

Combine like terms: 8n + -8n = 0
7 + -15n + 8n2 = 0

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


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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