3n^2-17n-56=0

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Solution for 3n^2-17n-56=0 equation: 


Simplifying
3n2 + -17n + -56 = 0

Reorder the terms:
-56 + -17n + 3n2 = 0

Solving
-56 + -17n + 3n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-7 + -3n)(8 + -1n) = 0


Subproblem 1
Set the factor '(-7 + -3n)' equal to zero and attempt to solve:

Simplifying
-7 + -3n = 0

Solving
-7 + -3n = 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 + -3n = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3n = 0 + 7
-3n = 0 + 7

Combine like terms: 0 + 7 = 7
-3n = 7

Divide each side by '-3'.
n = -2.333333333

Simplifying
n = -2.333333333

Subproblem 2
Set the factor '(8 + -1n)' equal to zero and attempt to solve:

Simplifying
8 + -1n = 0

Solving
8 + -1n = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1n = 0 + -8
-1n = 0 + -8

Combine like terms: 0 + -8 = -8
-1n = -8

Divide each side by '-1'.
n = 8

Simplifying
n = 8
Solution
n = {-2.333333333, 8}

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