5v^2-2v-16=0

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Solution for 5v^2-2v-16=0 equation: 


Simplifying
5v2 + -2v + -16 = 0

Reorder the terms:
-16 + -2v + 5v2 = 0

Solving
-16 + -2v + 5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-8 + -5v)(2 + -1v) = 0


Subproblem 1
Set the factor '(-8 + -5v)' equal to zero and attempt to solve:

Simplifying
-8 + -5v = 0

Solving
-8 + -5v = 0

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

Add '8' to each side of the equation.
-8 + 8 + -5v = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -5v = 0 + 8
-5v = 0 + 8

Combine like terms: 0 + 8 = 8
-5v = 8

Divide each side by '-5'.
v = -1.6

Simplifying
v = -1.6

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

Simplifying
2 + -1v = 0

Solving
2 + -1v = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1v = 0 + -2
-1v = 0 + -2

Combine like terms: 0 + -2 = -2
-1v = -2

Divide each side by '-1'.
v = 2

Simplifying
v = 2
Solution
v = {-1.6, 2}

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