-10w^2+41w-4=0

Solution for -10w^2+41w-4=0 equation:

Simplifying
-10w2 + 41w + -4 = 0

Reorder the terms:
-4 + 41w + -10w2 = 0

Solving
-4 + 41w + -10w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-4 + w)(1 + -10w) = 0

Subproblem 1
Set the factor '(-4 + w)' equal to zero and attempt to solve:

Simplifying
-4 + w = 0

Solving
-4 + w = 0

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

Add '4' to each side of the equation.
-4 + 4 + w = 0 + 4

Combine like terms: -4 + 4 = 0
0 + w = 0 + 4
w = 0 + 4

Combine like terms: 0 + 4 = 4
w = 4

Simplifying
w = 4
Subproblem 2
Set the factor '(1 + -10w)' equal to zero and attempt to solve:

Simplifying
1 + -10w = 0

Solving
1 + -10w = 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 + -10w = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -10w = 0 + -1
-10w = 0 + -1

Combine like terms: 0 + -1 = -1
-10w = -1

Divide each side by '-10'.
w = 0.1

Simplifying
w = 0.1
Solution
w = {4, 0.1}