7w^2(3-8w^3)=

Solution for 7w^2(3-8w^3)= equation:

Simplifying
7w2(3 + -8w3) = 0
(3 * 7w2 + -8w3 * 7w2) = 0
(21w2 + -56w5) = 0

Solving
21w2 + -56w5 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '7w2'.
7w2(3 + -8w3) = 0

Ignore the factor 7.
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 '(3 + -8w3)' equal to zero and attempt to solve:

Simplifying
3 + -8w3 = 0

Solving
3 + -8w3 = 0

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

Add '-3' to each side of the equation.
3 + -3 + -8w3 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8w3 = 0 + -3
-8w3 = 0 + -3

Combine like terms: 0 + -3 = -3
-8w3 = -3

Divide each side by '-8'.
w3 = 0.375

Simplifying
w3 = 0.375

The solution to this equation could not be determined.

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