(5n-16)(n+11)=0

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Solution for (5n-16)(n+11)=0 equation: 


Simplifying
(5n + -16)(n + 11) = 0

Reorder the terms:
(-16 + 5n)(n + 11) = 0

Reorder the terms:
(-16 + 5n)(11 + n) = 0

Multiply (-16 + 5n) * (11 + n)
(-16(11 + n) + 5n * (11 + n)) = 0
((11 * -16 + n * -16) + 5n * (11 + n)) = 0
((-176 + -16n) + 5n * (11 + n)) = 0
(-176 + -16n + (11 * 5n + n * 5n)) = 0
(-176 + -16n + (55n + 5n2)) = 0

Combine like terms: -16n + 55n = 39n
(-176 + 39n + 5n2) = 0

Solving
-176 + 39n + 5n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-11 + -1n)(16 + -5n) = 0


Subproblem 1
Set the factor '(-11 + -1n)' equal to zero and attempt to solve:

Simplifying
-11 + -1n = 0

Solving
-11 + -1n = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1n = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1n = 0 + 11
-1n = 0 + 11

Combine like terms: 0 + 11 = 11
-1n = 11

Divide each side by '-1'.
n = -11

Simplifying
n = -11

Subproblem 2
Set the factor '(16 + -5n)' equal to zero and attempt to solve:

Simplifying
16 + -5n = 0

Solving
16 + -5n = 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 + -5n = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -5n = 0 + -16
-5n = 0 + -16

Combine like terms: 0 + -16 = -16
-5n = -16

Divide each side by '-5'.
n = 3.2

Simplifying
n = 3.2
Solution
n = {-11, 3.2}

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