-2w^2+7w-5=0

Solution for -2w^2+7w-5=0 equation:

Simplifying
-2w2 + 7w + -5 = 0

Reorder the terms:
-5 + 7w + -2w2 = 0

Solving
-5 + 7w + -2w2 = 0

Solving for variable 'w'.

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

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

Simplifying
-5 + 2w = 0

Solving
-5 + 2w = 0

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

Add '5' to each side of the equation.
-5 + 5 + 2w = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2w = 0 + 5
2w = 0 + 5

Combine like terms: 0 + 5 = 5
2w = 5

Divide each side by '2'.
w = 2.5

Simplifying
w = 2.5
Subproblem 2
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
Solution
w = {2.5, 1}