n^2-3n+8=8

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Solution for n^2-3n+8=8 equation: 


Simplifying
n2 + -3n + 8 = 8

Reorder the terms:
8 + -3n + n2 = 8

Add '-8' to each side of the equation.
8 + -3n + -8 + n2 = 8 + -8

Reorder the terms:
8 + -8 + -3n + n2 = 8 + -8

Combine like terms: 8 + -8 = 0
0 + -3n + n2 = 8 + -8
-3n + n2 = 8 + -8

Combine like terms: 8 + -8 = 0
-3n + n2 = 0

Solving
-3n + n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(-3 + n) = 0


Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

Subproblem 2
Set the factor '(-3 + n)' equal to zero and attempt to solve:

Simplifying
-3 + n = 0

Solving
-3 + n = 0

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

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

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

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

Simplifying
n = 3
Solution
n = {0, 3}

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