13w^2-38w+25=0

Solution for 13w^2-38w+25=0 equation:

Simplifying
13w2 + -38w + 25 = 0

Reorder the terms:
25 + -38w + 13w2 = 0

Solving
25 + -38w + 13w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(1 + -1w)(25 + -13w) = 0

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

Simplifying
1 + -1w = 0

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

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

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

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

Simplifying
w = 1
Subproblem 2
Set the factor '(25 + -13w)' equal to zero and attempt to solve:

Simplifying
25 + -13w = 0

Solving
25 + -13w = 0

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

Add '-25' to each side of the equation.
25 + -25 + -13w = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -13w = 0 + -25
-13w = 0 + -25

Combine like terms: 0 + -25 = -25
-13w = -25

Divide each side by '-13'.
w = 1.923076923

Simplifying
w = 1.923076923
Solution
w = {1, 1.923076923}