(w^2-6w)(w^2-6w)=0

Solution for (w^2-6w)(w^2-6w)=0 equation:

Simplifying
(w2 + -6w)(w2 + -6w) = 0

Reorder the terms:
(-6w + w2)(w2 + -6w) = 0

Reorder the terms:
(-6w + w2)(-6w + w2) = 0

Multiply (-6w + w2) * (-6w + w2)
(-6w * (-6w + w2) + w2(-6w + w2)) = 0
((-6w * -6w + w2 * -6w) + w2(-6w + w2)) = 0
((36w2 + -6w3) + w2(-6w + w2)) = 0
(36w2 + -6w3 + (-6w * w2 + w2 * w2)) = 0
(36w2 + -6w3 + (-6w3 + w4)) = 0

Combine like terms: -6w3 + -6w3 = -12w3
(36w2 + -12w3 + w4) = 0

Solving
36w2 + -12w3 + w4 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w2'.
w2(36 + -12w + w2) = 0

Factor a trinomial.
w2((6 + -1w)(6 + -1w)) = 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 + -1w)' equal to zero and attempt to solve:

Simplifying
6 + -1w = 0

Solving
6 + -1w = 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 + -1w = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1w = 0 + -6
-1w = 0 + -6

Combine like terms: 0 + -6 = -6
-1w = -6

Divide each side by '-1'.
w = 6

Simplifying
w = 6
Subproblem 3
Set the factor '(6 + -1w)' equal to zero and attempt to solve:

Simplifying
6 + -1w = 0

Solving
6 + -1w = 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 + -1w = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1w = 0 + -6
-1w = 0 + -6

Combine like terms: 0 + -6 = -6
-1w = -6

Divide each side by '-1'.
w = 6

Simplifying
w = 6
Solution
w = {0, 6, 6}