10v^4-34v^3+12v^2=

Solution for 10v^4-34v^3+12v^2= equation:

Simplifying
10v4 + -34v3 + 12v2 = 0

Reorder the terms:
12v2 + -34v3 + 10v4 = 0

Solving
12v2 + -34v3 + 10v4 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2v2'.
2v2(6 + -17v + 5v2) = 0

Factor a trinomial.
2v2((2 + -5v)(3 + -1v)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'v2' equal to zero and attempt to solve:

Simplifying
v2 = 0

Solving
v2 = 0

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

Simplifying
v2 = 0

Take the square root of each side:
v = {0}
Subproblem 2
Set the factor '(2 + -5v)' equal to zero and attempt to solve:

Simplifying
2 + -5v = 0

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

Combine like terms: 2 + -2 = 0
0 + -5v = 0 + -2
-5v = 0 + -2

Combine like terms: 0 + -2 = -2
-5v = -2

Divide each side by '-5'.
v = 0.4

Simplifying
v = 0.4
Subproblem 3
Set the factor '(3 + -1v)' equal to zero and attempt to solve:

Simplifying
3 + -1v = 0

Solving
3 + -1v = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1v = 0 + -3
-1v = 0 + -3

Combine like terms: 0 + -3 = -3
-1v = -3

Divide each side by '-1'.
v = 3

Simplifying
v = 3
Solution
v = {0, 0.4, 3}