224-60w+40w^2=80

Solution for 224-60w+40w^2=80 equation:

Simplifying
224 + -60w + 40w2 = 80

Solving
224 + -60w + 40w2 = 80

Solving for variable 'w'.

Reorder the terms:
224 + -80 + -60w + 40w2 = 80 + -80

Combine like terms: 224 + -80 = 144
144 + -60w + 40w2 = 80 + -80

Combine like terms: 80 + -80 = 0
144 + -60w + 40w2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(36 + -15w + 10w2) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(36 + -15w + 10w2)' equal to zero and attempt to solve:

Simplifying
36 + -15w + 10w2 = 0

Solving
36 + -15w + 10w2 = 0

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

Divide each side by '10'.
3.6 + -1.5w + w2 = 0.0

Move the constant term to the right:

Add '-3.6' to each side of the equation.
3.6 + -1.5w + -3.6 + w2 = 0.0 + -3.6

Reorder the terms:
3.6 + -3.6 + -1.5w + w2 = 0.0 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + -1.5w + w2 = 0.0 + -3.6
-1.5w + w2 = 0.0 + -3.6

Combine like terms: 0.0 + -3.6 = -3.6
-1.5w + w2 = -3.6

The w term is -1.5w.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5w + 0.5625 + w2 = -3.6 + 0.5625

Reorder the terms:
0.5625 + -1.5w + w2 = -3.6 + 0.5625

Combine like terms: -3.6 + 0.5625 = -3.0375
0.5625 + -1.5w + w2 = -3.0375

Factor a perfect square on the left side:
(w + -0.75)(w + -0.75) = -3.0375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.