25v^2+80v+64=0

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Solution for 25v^2+80v+64=0 equation: 


Simplifying
25v2 + 80v + 64 = 0

Reorder the terms:
64 + 80v + 25v2 = 0

Solving
64 + 80v + 25v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(8 + 5v)(8 + 5v) = 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 '(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
Solution
v = {-1.6, -1.6}

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