10-16v=-6v^2

Solution for 10-16v=-6v^2 equation:

Simplifying
10 + -16v = -6v2

Solving
10 + -16v = -6v2

Solving for variable 'v'.

Combine like terms: -6v2 + 6v2 = 0
10 + -16v + 6v2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + -8v + 3v2) = 0

Factor a trinomial.
2((1 + -1v)(5 + -3v)) = 0

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

Simplifying
1 + -1v = 0

Solving
1 + -1v = 0

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

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

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

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

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

Simplifying
v = 1
Subproblem 2
Set the factor '(5 + -3v)' equal to zero and attempt to solve:

Simplifying
5 + -3v = 0

Solving
5 + -3v = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3v = 0 + -5
-3v = 0 + -5

Combine like terms: 0 + -5 = -5
-3v = -5

Divide each side by '-3'.
v = 1.666666667

Simplifying
v = 1.666666667
Solution
v = {1, 1.666666667}