(5+w)(5w+3)=

Solution for (5+w)(5w+3)= equation:

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

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

Multiply (5 + w) * (3 + 5w)
(5(3 + 5w) + w(3 + 5w)) = 0
((3 * 5 + 5w * 5) + w(3 + 5w)) = 0
((15 + 25w) + w(3 + 5w)) = 0
(15 + 25w + (3 * w + 5w * w)) = 0
(15 + 25w + (3w + 5w2)) = 0

Combine like terms: 25w + 3w = 28w
(15 + 28w + 5w2) = 0

Solving
15 + 28w + 5w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(5 + w)(3 + 5w) = 0

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

Simplifying
5 + w = 0

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

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

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

Simplifying
w = -5
Subproblem 2
Set the factor '(3 + 5w)' equal to zero and attempt to solve:

Simplifying
3 + 5w = 0

Solving
3 + 5w = 0

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

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

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

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

Divide each side by '5'.
w = -0.6

Simplifying
w = -0.6
Solution
w = {-5, -0.6}