25W^2+10W+1=0

Solution for 25W^2+10W+1=0 equation:

Simplifying
25W2 + 10W + 1 = 0

Reorder the terms:
1 + 10W + 25W2 = 0

Solving
1 + 10W + 25W2 = 0

Solving for variable 'W'.

Factor a trinomial.
(1 + 5W)(1 + 5W) = 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 + 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 = {-0.2, -0.2}