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

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

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

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

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

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

Combine like terms: -24w + -30w = -54w
(24 + -54w + 30w2) = 0

Solving
24 + -54w + 30w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '6'.
6(4 + -9w + 5w2) = 0

Factor a trinomial.
6((4 + -5w)(1 + -1w)) = 0

Ignore the factor 6.
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 '(1 + -1w)' equal to zero and attempt to solve:

Simplifying
1 + -1w = 0

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

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

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

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

Simplifying
w = 1
Solution
w = {0.8, 1}