4w(5w+4)=15w-12

Solution for 4w(5w+4)=15w-12 equation:

Simplifying
4w(5w + 4) = 15w + -12

Reorder the terms:
4w(4 + 5w) = 15w + -12
(4 * 4w + 5w * 4w) = 15w + -12
(16w + 20w2) = 15w + -12

Reorder the terms:
16w + 20w2 = -12 + 15w

Solving
16w + 20w2 = -12 + 15w

Solving for variable 'w'.

Reorder the terms:
12 + 16w + -15w + 20w2 = -12 + 15w + 12 + -15w

Combine like terms: 16w + -15w = 1w
12 + 1w + 20w2 = -12 + 15w + 12 + -15w

Reorder the terms:
12 + 1w + 20w2 = -12 + 12 + 15w + -15w

Combine like terms: -12 + 12 = 0
12 + 1w + 20w2 = 0 + 15w + -15w
12 + 1w + 20w2 = 15w + -15w

Combine like terms: 15w + -15w = 0
12 + 1w + 20w2 = 0

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

Divide each side by '20'.
0.6 + 0.05w + w2 = 0.0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + 0.05w + -0.6 + w2 = 0.0 + -0.6

Reorder the terms:
0.6 + -0.6 + 0.05w + w2 = 0.0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.05w + w2 = 0.0 + -0.6
0.05w + w2 = 0.0 + -0.6

Combine like terms: 0.0 + -0.6 = -0.6
0.05w + w2 = -0.6

The w term is 0.05w.  Take half its coefficient (0.025).
Square it (0.000625) and add it to both sides.

Add '0.000625' to each side of the equation.
0.05w + 0.000625 + w2 = -0.6 + 0.000625

Reorder the terms:
0.000625 + 0.05w + w2 = -0.6 + 0.000625

Combine like terms: -0.6 + 0.000625 = -0.599375
0.000625 + 0.05w + w2 = -0.599375

Factor a perfect square on the left side:
(w + 0.025)(w + 0.025) = -0.599375

Can't calculate square root of the right side.

The solution to this equation could not be determined.