(5w-4)(2w-6)=0

Solution for (5w-4)(2w-6)=0 equation:

Simplifying
(5w + -4)(2w + -6) = 0

Reorder the terms:
(-4 + 5w)(2w + -6) = 0

Reorder the terms:
(-4 + 5w)(-6 + 2w) = 0

Multiply (-4 + 5w) * (-6 + 2w)
(-4(-6 + 2w) + 5w * (-6 + 2w)) = 0
((-6 * -4 + 2w * -4) + 5w * (-6 + 2w)) = 0
((24 + -8w) + 5w * (-6 + 2w)) = 0
(24 + -8w + (-6 * 5w + 2w * 5w)) = 0
(24 + -8w + (-30w + 10w2)) = 0

Combine like terms: -8w + -30w = -38w
(24 + -38w + 10w2) = 0

Solving
24 + -38w + 10w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + -19w + 5w2) = 0

Factor a trinomial.
2((4 + -5w)(3 + -1w)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(4 + -5w)' equal to zero and attempt to solve:

Simplifying
4 + -5w = 0

Solving
4 + -5w = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5w = 0 + -4
-5w = 0 + -4

Combine like terms: 0 + -4 = -4
-5w = -4

Divide each side by '-5'.
w = 0.8

Simplifying
w = 0.8
Subproblem 2
Set the factor '(3 + -1w)' equal to zero and attempt to solve:

Simplifying
3 + -1w = 0

Solving
3 + -1w = 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 + -1w = 0 + -3

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

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

Divide each side by '-1'.
w = 3

Simplifying
w = 3
Solution
w = {0.8, 3}