-10v^2+13v-3=0

Solution for -10v^2+13v-3=0 equation:

Simplifying
-10v2 + 13v + -3 = 0

Reorder the terms:
-3 + 13v + -10v2 = 0

Solving
-3 + 13v + -10v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-1 + v)(3 + -10v) = 0

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

Simplifying
-1 + v = 0

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

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

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

Simplifying
v = 1
Subproblem 2
Set the factor '(3 + -10v)' equal to zero and attempt to solve:

Simplifying
3 + -10v = 0

Solving
3 + -10v = 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 + -10v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -10v = 0 + -3
-10v = 0 + -3

Combine like terms: 0 + -3 = -3
-10v = -3

Divide each side by '-10'.
v = 0.3

Simplifying
v = 0.3
Solution
v = {1, 0.3}