(4+W)(5W-6)=0

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

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

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

Multiply (4 + W) * (-6 + 5W)
(4(-6 + 5W) + W(-6 + 5W)) = 0
((-6 * 4 + 5W * 4) + W(-6 + 5W)) = 0
((-24 + 20W) + W(-6 + 5W)) = 0
(-24 + 20W + (-6 * W + 5W * W)) = 0
(-24 + 20W + (-6W + 5W2)) = 0

Combine like terms: 20W + -6W = 14W
(-24 + 14W + 5W2) = 0

Solving
-24 + 14W + 5W2 = 0

Solving for variable 'W'.

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

Subproblem 1
Set the factor '(-4 + -1W)' equal to zero and attempt to solve:

Simplifying
-4 + -1W = 0

Solving
-4 + -1W = 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 + -1W = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1W = 0 + 4
-1W = 0 + 4

Combine like terms: 0 + 4 = 4
-1W = 4

Divide each side by '-1'.
W = -4

Simplifying
W = -4
Subproblem 2
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
Solution
W = {-4, 1.2}