(5w-30)(2w-1)=0

Solution for (5w-30)(2w-1)=0 equation:

Simplifying
(5w + -30)(2w + -1) = 0

Reorder the terms:
(-30 + 5w)(2w + -1) = 0

Reorder the terms:
(-30 + 5w)(-1 + 2w) = 0

Multiply (-30 + 5w) * (-1 + 2w)
(-30(-1 + 2w) + 5w * (-1 + 2w)) = 0
((-1 * -30 + 2w * -30) + 5w * (-1 + 2w)) = 0
((30 + -60w) + 5w * (-1 + 2w)) = 0
(30 + -60w + (-1 * 5w + 2w * 5w)) = 0
(30 + -60w + (-5w + 10w2)) = 0

Combine like terms: -60w + -5w = -65w
(30 + -65w + 10w2) = 0

Solving
30 + -65w + 10w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '5'.
5(6 + -13w + 2w2) = 0

Factor a trinomial.
5((1 + -2w)(6 + -1w)) = 0

Ignore the factor 5.
Subproblem 1
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
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
Solution
w = {0.5, 6}