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

Solution for (1-w)(5w-6)=0 equation:

Simplifying
(1 + -1w)(5w + -6) = 0

Reorder the terms:
(1 + -1w)(-6 + 5w) = 0

Multiply (1 + -1w) * (-6 + 5w)
(1(-6 + 5w) + -1w * (-6 + 5w)) = 0
((-6 * 1 + 5w * 1) + -1w * (-6 + 5w)) = 0
((-6 + 5w) + -1w * (-6 + 5w)) = 0
(-6 + 5w + (-6 * -1w + 5w * -1w)) = 0
(-6 + 5w + (6w + -5w2)) = 0

Combine like terms: 5w + 6w = 11w
(-6 + 11w + -5w2) = 0

Solving
-6 + 11w + -5w2 = 0

Solving for variable 'w'.

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

Subproblem 1
Set the factor '(-6 + 5w)' equal to zero and attempt to solve:

Simplifying
-6 + 5w = 0

Solving
-6 + 5w = 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 + 5w = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 5w = 0 + 6
5w = 0 + 6

Combine like terms: 0 + 6 = 6
5w = 6

Divide each side by '5'.
w = 1.2

Simplifying
w = 1.2
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 = {1.2, 1}