(6+w)(3w-5)=0

Solution for (6+w)(3w-5)=0 equation:

Simplifying
(6 + w)(3w + -5) = 0

Reorder the terms:
(6 + w)(-5 + 3w) = 0

Multiply (6 + w) * (-5 + 3w)
(6(-5 + 3w) + w(-5 + 3w)) = 0
((-5 * 6 + 3w * 6) + w(-5 + 3w)) = 0
((-30 + 18w) + w(-5 + 3w)) = 0
(-30 + 18w + (-5 * w + 3w * w)) = 0
(-30 + 18w + (-5w + 3w2)) = 0

Combine like terms: 18w + -5w = 13w
(-30 + 13w + 3w2) = 0

Solving
-30 + 13w + 3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-6 + -1w)(5 + -3w) = 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 '(5 + -3w)' equal to zero and attempt to solve:

Simplifying
5 + -3w = 0

Solving
5 + -3w = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3w = 0 + -5
-3w = 0 + -5

Combine like terms: 0 + -5 = -5
-3w = -5

Divide each side by '-3'.
w = 1.666666667

Simplifying
w = 1.666666667
Solution
w = {-6, 1.666666667}