6w^2-7w^3=0

Solution for 6w^2-7w^3=0 equation:

Simplifying
6w2 + -7w3 = 0

Solving
6w2 + -7w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w2'.
w2(6 + -7w) = 0

Subproblem 1
Set the factor 'w2' equal to zero and attempt to solve:

Simplifying
w2 = 0

Solving
w2 = 0

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

Simplifying
w2 = 0

Take the square root of each side:
w = {0}
Subproblem 2
Set the factor '(6 + -7w)' equal to zero and attempt to solve:

Simplifying
6 + -7w = 0

Solving
6 + -7w = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7w = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7w = 0 + -6
-7w = 0 + -6

Combine like terms: 0 + -6 = -6
-7w = -6

Divide each side by '-7'.
w = 0.8571428571

Simplifying
w = 0.8571428571
Solution
w = {0, 0.8571428571}