5w(12w+1)+12w+1=

Solution for 5w(12w+1)+12w+1= equation:

Simplifying
5w(12w + 1) + 12w + 1 = 0

Reorder the terms:
5w(1 + 12w) + 12w + 1 = 0
(1 * 5w + 12w * 5w) + 12w + 1 = 0
(5w + 60w2) + 12w + 1 = 0

Reorder the terms:
1 + 5w + 12w + 60w2 = 0

Combine like terms: 5w + 12w = 17w
1 + 17w + 60w2 = 0

Solving
1 + 17w + 60w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(1 + 5w)(1 + 12w) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(1 + 12w)' equal to zero and attempt to solve:

Simplifying
1 + 12w = 0

Solving
1 + 12w = 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 + 12w = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 12w = 0 + -1
12w = 0 + -1

Combine like terms: 0 + -1 = -1
12w = -1

Divide each side by '12'.
w = -0.08333333333

Simplifying
w = -0.08333333333
Solution
w = {-0.2, -0.08333333333}