144=n^2+6n-16

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Solution for 144=n^2+6n-16 equation: 


Simplifying
144 = n2 + 6n + -16

Reorder the terms:
144 = -16 + 6n + n2

Solving
144 = -16 + 6n + n2

Solving for variable 'n'.

Combine like terms: 144 + 16 = 160
160 + -6n + -1n2 = -16 + 6n + n2 + 16 + -6n + -1n2

Reorder the terms:
160 + -6n + -1n2 = -16 + 16 + 6n + -6n + n2 + -1n2

Combine like terms: -16 + 16 = 0
160 + -6n + -1n2 = 0 + 6n + -6n + n2 + -1n2
160 + -6n + -1n2 = 6n + -6n + n2 + -1n2

Combine like terms: 6n + -6n = 0
160 + -6n + -1n2 = 0 + n2 + -1n2
160 + -6n + -1n2 = n2 + -1n2

Combine like terms: n2 + -1n2 = 0
160 + -6n + -1n2 = 0

Factor a trinomial.
(10 + -1n)(16 + n) = 0


Subproblem 1
Set the factor '(10 + -1n)' equal to zero and attempt to solve:

Simplifying
10 + -1n = 0

Solving
10 + -1n = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1n = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1n = 0 + -10
-1n = 0 + -10

Combine like terms: 0 + -10 = -10
-1n = -10

Divide each side by '-1'.
n = 10

Simplifying
n = 10

Subproblem 2
Set the factor '(16 + n)' equal to zero and attempt to solve:

Simplifying
16 + n = 0

Solving
16 + n = 0

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

Add '-16' to each side of the equation.
16 + -16 + n = 0 + -16

Combine like terms: 16 + -16 = 0
0 + n = 0 + -16
n = 0 + -16

Combine like terms: 0 + -16 = -16
n = -16

Simplifying
n = -16
Solution
n = {10, -16}

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