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

Solution for (1-w)(4w-6)=0 equation:

Simplifying
(1 + -1w)(4w + -6) = 0

Reorder the terms:
(1 + -1w)(-6 + 4w) = 0

Multiply (1 + -1w) * (-6 + 4w)
(1(-6 + 4w) + -1w * (-6 + 4w)) = 0
((-6 * 1 + 4w * 1) + -1w * (-6 + 4w)) = 0
((-6 + 4w) + -1w * (-6 + 4w)) = 0
(-6 + 4w + (-6 * -1w + 4w * -1w)) = 0
(-6 + 4w + (6w + -4w2)) = 0

Combine like terms: 4w + 6w = 10w
(-6 + 10w + -4w2) = 0

Solving
-6 + 10w + -4w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 5w + -2w2) = 0

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

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

Simplifying
-3 + 2w = 0

Solving
-3 + 2w = 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 + 2w = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2w = 0 + 3
2w = 0 + 3

Combine like terms: 0 + 3 = 3
2w = 3

Divide each side by '2'.
w = 1.5

Simplifying
w = 1.5
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 = {1.5, 1}