9.2-4w=-2w(3w+5)

Solution for 9.2-4w=-2w(3w+5) equation:

Simplifying
9.2 + -4w = -2w(3w + 5)

Reorder the terms:
9.2 + -4w = -2w(5 + 3w)
9.2 + -4w = (5 * -2w + 3w * -2w)
9.2 + -4w = (-10w + -6w2)

Solving
9.2 + -4w = -10w + -6w2

Solving for variable 'w'.

Combine like terms: -4w + 10w = 6w
9.2 + 6w + 6w2 = -10w + -6w2 + 10w + 6w2

Reorder the terms:
9.2 + 6w + 6w2 = -10w + 10w + -6w2 + 6w2

Combine like terms: -10w + 10w = 0
9.2 + 6w + 6w2 = 0 + -6w2 + 6w2
9.2 + 6w + 6w2 = -6w2 + 6w2

Combine like terms: -6w2 + 6w2 = 0
9.2 + 6w + 6w2 = 0

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

Divide each side by '6'.
1.533333333 + w + w2 = 0

Move the constant term to the right:

Add '-1.533333333' to each side of the equation.
1.533333333 + w + -1.533333333 + w2 = 0 + -1.533333333

Reorder the terms:
1.533333333 + -1.533333333 + w + w2 = 0 + -1.533333333

Combine like terms: 1.533333333 + -1.533333333 = 0.000000000
0.000000000 + w + w2 = 0 + -1.533333333
w + w2 = 0 + -1.533333333

Combine like terms: 0 + -1.533333333 = -1.533333333
w + w2 = -1.533333333

The w term is w.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + w2 = -1.533333333 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + w2 = -1.533333333 + 0.25

Combine like terms: -1.533333333 + 0.25 = -1.283333333
1.25 + w2 = -1.283333333

Factor a perfect square on the left side:
(w + 0.5)(w + 0.5) = -1.283333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.