3v^2-16v-64=0

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Solution for 3v^2-16v-64=0 equation: 


Simplifying
3v2 + -16v + -64 = 0

Reorder the terms:
-64 + -16v + 3v2 = 0

Solving
-64 + -16v + 3v2 = 0

Solving for variable 'v'.

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


Subproblem 1
Set the factor '(-8 + -3v)' equal to zero and attempt to solve:

Simplifying
-8 + -3v = 0

Solving
-8 + -3v = 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 + -3v = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3v = 0 + 8
-3v = 0 + 8

Combine like terms: 0 + 8 = 8
-3v = 8

Divide each side by '-3'.
v = -2.666666667

Simplifying
v = -2.666666667

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

Simplifying
8 + -1v = 0

Solving
8 + -1v = 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 + -1v = 0 + -8

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

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

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

Simplifying
v = 8
Solution
v = {-2.666666667, 8}

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