5w^2=4(w-5)

Solution for 5w^2=4(w-5) equation:

Simplifying
5w2 = 4(w + -5)

Reorder the terms:
5w2 = 4(-5 + w)
5w2 = (-5 * 4 + w * 4)
5w2 = (-20 + 4w)

Solving
5w2 = -20 + 4w

Solving for variable 'w'.

Reorder the terms:
20 + -4w + 5w2 = -20 + 4w + 20 + -4w

Reorder the terms:
20 + -4w + 5w2 = -20 + 20 + 4w + -4w

Combine like terms: -20 + 20 = 0
20 + -4w + 5w2 = 0 + 4w + -4w
20 + -4w + 5w2 = 4w + -4w

Combine like terms: 4w + -4w = 0
20 + -4w + 5w2 = 0

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

Divide each side by '5'.
4 + -0.8w + w2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -0.8w + -4 + w2 = 0 + -4

Reorder the terms:
4 + -4 + -0.8w + w2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -0.8w + w2 = 0 + -4
-0.8w + w2 = 0 + -4

Combine like terms: 0 + -4 = -4
-0.8w + w2 = -4

The w term is -0.8w.  Take half its coefficient (-0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
-0.8w + 0.16 + w2 = -4 + 0.16

Reorder the terms:
0.16 + -0.8w + w2 = -4 + 0.16

Combine like terms: -4 + 0.16 = -3.84
0.16 + -0.8w + w2 = -3.84

Factor a perfect square on the left side:
(w + -0.4)(w + -0.4) = -3.84

Can't calculate square root of the right side.

The solution to this equation could not be determined.