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

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

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

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

Multiply (6 + 5w) * (5 + -1w)
(6(5 + -1w) + 5w * (5 + -1w)) = 0
((5 * 6 + -1w * 6) + 5w * (5 + -1w)) = 0
((30 + -6w) + 5w * (5 + -1w)) = 0
(30 + -6w + (5 * 5w + -1w * 5w)) = 0
(30 + -6w + (25w + -5w2)) = 0

Combine like terms: -6w + 25w = 19w
(30 + 19w + -5w2) = 0

Solving
30 + 19w + -5w2 = 0

Solving for variable 'w'.

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

Subproblem 1
Set the factor '(5 + -1w)' equal to zero and attempt to solve:

Simplifying
5 + -1w = 0

Solving
5 + -1w = 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 + -1w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1w = 0 + -5
-1w = 0 + -5

Combine like terms: 0 + -5 = -5
-1w = -5

Divide each side by '-1'.
w = 5

Simplifying
w = 5
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 = {5, -1.2}