-10w^2+17w-12=0

Solution for -10w^2+17w-12=0 equation:

Simplifying
-10w2 + 17w + -12 = 0

Reorder the terms:
-12 + 17w + -10w2 = 0

Solving
-12 + 17w + -10w2 = 0

Solving for variable 'w'.

Begin completing the square.  Divide all terms by
-10 the coefficient of the squared term: 

Divide each side by '-10'.
1.2 + -1.7w + w2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + -1.7w + -1.2 + w2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + -1.7w + w2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -1.7w + w2 = 0 + -1.2
-1.7w + w2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
-1.7w + w2 = -1.2

The w term is -1.7w.  Take half its coefficient (-0.85).
Square it (0.7225) and add it to both sides.

Add '0.7225' to each side of the equation.
-1.7w + 0.7225 + w2 = -1.2 + 0.7225

Reorder the terms:
0.7225 + -1.7w + w2 = -1.2 + 0.7225

Combine like terms: -1.2 + 0.7225 = -0.4775
0.7225 + -1.7w + w2 = -0.4775

Factor a perfect square on the left side:
(w + -0.85)(w + -0.85) = -0.4775

Can't calculate square root of the right side.

The solution to this equation could not be determined.