-10v-3=3v^2

Solution for -10v-3=3v^2 equation:

Simplifying
-10v + -3 = 3v2

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

Solving
-3 + -10v = 3v2

Solving for variable 'v'.

Combine like terms: 3v2 + -3v2 = 0
-3 + -10v + -3v2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 10v + 3v2) = 0

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

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

Simplifying
3 + v = 0

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

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

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

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

Simplifying
1 + 3v = 0

Solving
1 + 3v = 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 + 3v = 0 + -1

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

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

Divide each side by '3'.
v = -0.3333333333

Simplifying
v = -0.3333333333
Solution
v = {-3, -0.3333333333}