2w^2(2w^2+11w-6)=0

Solution for 2w^2(2w^2+11w-6)=0 equation:

Simplifying
2w2(2w2 + 11w + -6) = 0

Reorder the terms:
2w2(-6 + 11w + 2w2) = 0
(-6 * 2w2 + 11w * 2w2 + 2w2 * 2w2) = 0
(-12w2 + 22w3 + 4w4) = 0

Solving
-12w2 + 22w3 + 4w4 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2w2'.
2w2(-6 + 11w + 2w2) = 0

Factor a trinomial.
2w2((-6 + -1w)(1 + -2w)) = 0

Ignore the factor 2.
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 '(1 + -2w)' equal to zero and attempt to solve:

Simplifying
1 + -2w = 0

Solving
1 + -2w = 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 + -2w = 0 + -1

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

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

Divide each side by '-2'.
w = 0.5

Simplifying
w = 0.5
Solution
w = {0, -6, 0.5}