(6+w)(5w-8)=0

Solution for (6+w)(5w-8)=0 equation:

Simplifying
(6 + w)(5w + -8) = 0

Reorder the terms:
(6 + w)(-8 + 5w) = 0

Multiply (6 + w) * (-8 + 5w)
(6(-8 + 5w) + w(-8 + 5w)) = 0
((-8 * 6 + 5w * 6) + w(-8 + 5w)) = 0
((-48 + 30w) + w(-8 + 5w)) = 0
(-48 + 30w + (-8 * w + 5w * w)) = 0
(-48 + 30w + (-8w + 5w2)) = 0

Combine like terms: 30w + -8w = 22w
(-48 + 22w + 5w2) = 0

Solving
-48 + 22w + 5w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-6 + -1w)(8 + -5w) = 0

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

Simplifying
-6 + -1w = 0

Solving
-6 + -1w = 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 + -1w = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1w = 0 + 6
-1w = 0 + 6

Combine like terms: 0 + 6 = 6
-1w = 6

Divide each side by '-1'.
w = -6

Simplifying
w = -6
Subproblem 2
Set the factor '(8 + -5w)' equal to zero and attempt to solve:

Simplifying
8 + -5w = 0

Solving
8 + -5w = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5w = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5w = 0 + -8
-5w = 0 + -8

Combine like terms: 0 + -8 = -8
-5w = -8

Divide each side by '-5'.
w = 1.6

Simplifying
w = 1.6
Solution
w = {-6, 1.6}