10wz^2-5wz+15w^2z=0

Solution for 10wz^2-5wz+15w^2z=0 equation:

Simplifying
10wz2 + -5wz + 15w2z = 0

Reorder the terms:
-5wz + 10wz2 + 15w2z = 0

Solving
-5wz + 10wz2 + 15w2z = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '5wz'.
5wz(-1 + 2z + 3w) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'wz' equal to zero and attempt to solve:

Simplifying
wz = 0

Solving
wz = 0

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

Simplifying
wz = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-1 + 2z + 3w)' equal to zero and attempt to solve:

Simplifying
-1 + 2z + 3w = 0

Reorder the terms:
-1 + 3w + 2z = 0

Solving
-1 + 3w + 2z = 0

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

Add '1' to each side of the equation.
-1 + 3w + 1 + 2z = 0 + 1

Reorder the terms:
-1 + 1 + 3w + 2z = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3w + 2z = 0 + 1
3w + 2z = 0 + 1

Combine like terms: 0 + 1 = 1
3w + 2z = 1

Add '-2z' to each side of the equation.
3w + 2z + -2z = 1 + -2z

Combine like terms: 2z + -2z = 0
3w + 0 = 1 + -2z
3w = 1 + -2z

Divide each side by '3'.
w = 0.3333333333 + -0.6666666667z

Simplifying
w = 0.3333333333 + -0.6666666667z
Solution
w = {0.3333333333 + -0.6666666667z}