10vx^2+20vx-150v=0

Solution for 10vx^2+20vx-150v=0 equation:

Simplifying
10vx2 + 20vx + -150v = 0

Reorder the terms:
-150v + 20vx + 10vx2 = 0

Solving
-150v + 20vx + 10vx2 = 0

Solving for variable 'v'.

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

Factor out the Greatest Common Factor (GCF), '10v'.
10v(-15 + 2x + x2) = 0

Factor a trinomial.
10v((-5 + -1x)(3 + -1x)) = 0

Ignore the factor 10.
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 '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 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 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Add 'x' to each side of the equation.
-1x + x = 5 + x

Combine like terms: -1x + x = 0
0 = 5 + x

Simplifying
0 = 5 + x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 3
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

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

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

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

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

Simplifying
0 = -3 + x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
v = {0}