(2+8v)*6v-3v^2=

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Solution for (2+8v)*6v-3v^2= equation: 


Simplifying
(2 + 8v) * 6v + -3v2 = 0

Reorder the terms for easier multiplication:
6v(2 + 8v) + -3v2 = 0
(2 * 6v + 8v * 6v) + -3v2 = 0
(12v + 48v2) + -3v2 = 0

Combine like terms: 48v2 + -3v2 = 45v2
12v + 45v2 = 0

Solving
12v + 45v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3v'.
3v(4 + 15v) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'v' equal to zero and attempt to solve:

Simplifying
v = 0

Solving
v = 0

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

Simplifying
v = 0

Subproblem 2
Set the factor '(4 + 15v)' equal to zero and attempt to solve:

Simplifying
4 + 15v = 0

Solving
4 + 15v = 0

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

Add '-4' to each side of the equation.
4 + -4 + 15v = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 15v = 0 + -4
15v = 0 + -4

Combine like terms: 0 + -4 = -4
15v = -4

Divide each side by '15'.
v = -0.2666666667

Simplifying
v = -0.2666666667
Solution
v = {0, -0.2666666667}

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