5w(2w+3)=-2w-3

Solution for 5w(2w+3)=-2w-3 equation:

Simplifying
5w(2w + 3) = -2w + -3

Reorder the terms:
5w(3 + 2w) = -2w + -3
(3 * 5w + 2w * 5w) = -2w + -3
(15w + 10w2) = -2w + -3

Reorder the terms:
15w + 10w2 = -3 + -2w

Solving
15w + 10w2 = -3 + -2w

Solving for variable 'w'.

Reorder the terms:
3 + 15w + 2w + 10w2 = -3 + -2w + 3 + 2w

Combine like terms: 15w + 2w = 17w
3 + 17w + 10w2 = -3 + -2w + 3 + 2w

Reorder the terms:
3 + 17w + 10w2 = -3 + 3 + -2w + 2w

Combine like terms: -3 + 3 = 0
3 + 17w + 10w2 = 0 + -2w + 2w
3 + 17w + 10w2 = -2w + 2w

Combine like terms: -2w + 2w = 0
3 + 17w + 10w2 = 0

Factor a trinomial.
(3 + 2w)(1 + 5w) = 0

Subproblem 1
Set the factor '(3 + 2w)' equal to zero and attempt to solve:

Simplifying
3 + 2w = 0

Solving
3 + 2w = 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 + 2w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2w = 0 + -3
2w = 0 + -3

Combine like terms: 0 + -3 = -3
2w = -3

Divide each side by '2'.
w = -1.5

Simplifying
w = -1.5
Subproblem 2
Set the factor '(1 + 5w)' equal to zero and attempt to solve:

Simplifying
1 + 5w = 0

Solving
1 + 5w = 0

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

Add '-1' to each side of the equation.
1 + -1 + 5w = 0 + -1

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

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

Divide each side by '5'.
w = -0.2

Simplifying
w = -0.2
Solution
w = {-1.5, -0.2}