10w^2(6w^4-2)=

Solution for 10w^2(6w^4-2)= equation:

Simplifying
10w2(6w4 + -2) = 0

Reorder the terms:
10w2(-2 + 6w4) = 0
(-2 * 10w2 + 6w4 * 10w2) = 0
(-20w2 + 60w6) = 0

Solving
-20w2 + 60w6 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '20w2'.
20w2(-1 + 3w4) = 0

Ignore the factor 20.
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 '(-1 + 3w4)' equal to zero and attempt to solve:

Simplifying
-1 + 3w4 = 0

Solving
-1 + 3w4 = 0

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

Add '1' to each side of the equation.
-1 + 1 + 3w4 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3w4 = 0 + 1
3w4 = 0 + 1

Combine like terms: 0 + 1 = 1
3w4 = 1

Divide each side by '3'.
w4 = 0.3333333333

Simplifying
w4 = 0.3333333333

The solution to this equation could not be determined.

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