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

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

Simplifying
(5w + -2)(6 + -1w) = 0

Reorder the terms:
(-2 + 5w)(6 + -1w) = 0

Multiply (-2 + 5w) * (6 + -1w)
(-2(6 + -1w) + 5w * (6 + -1w)) = 0
((6 * -2 + -1w * -2) + 5w * (6 + -1w)) = 0
((-12 + 2w) + 5w * (6 + -1w)) = 0
(-12 + 2w + (6 * 5w + -1w * 5w)) = 0
(-12 + 2w + (30w + -5w2)) = 0

Combine like terms: 2w + 30w = 32w
(-12 + 32w + -5w2) = 0

Solving
-12 + 32w + -5w2 = 0

Solving for variable 'w'.

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

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

Simplifying
-6 + w = 0

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

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

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

Simplifying
w = 6
Subproblem 2
Set the factor '(2 + -5w)' equal to zero and attempt to solve:

Simplifying
2 + -5w = 0

Solving
2 + -5w = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5w = 0 + -2
-5w = 0 + -2

Combine like terms: 0 + -2 = -2
-5w = -2

Divide each side by '-5'.
w = 0.4

Simplifying
w = 0.4
Solution
w = {6, 0.4}