-4(-5w+5)3w=5(w-5)-53

Solution for -4(-5w+5)3w=5(w-5)-53 equation:

Simplifying
-4(-5w + 5) * 3w = 5(w + -5) + -53

Reorder the terms:
-4(5 + -5w) * 3w = 5(w + -5) + -53

Reorder the terms for easier multiplication:
-4 * 3w(5 + -5w) = 5(w + -5) + -53

Multiply -4 * 3
-12w(5 + -5w) = 5(w + -5) + -53
(5 * -12w + -5w * -12w) = 5(w + -5) + -53
(-60w + 60w2) = 5(w + -5) + -53

Reorder the terms:
-60w + 60w2 = 5(-5 + w) + -53
-60w + 60w2 = (-5 * 5 + w * 5) + -53
-60w + 60w2 = (-25 + 5w) + -53

Reorder the terms:
-60w + 60w2 = -25 + -53 + 5w

Combine like terms: -25 + -53 = -78
-60w + 60w2 = -78 + 5w

Solving
-60w + 60w2 = -78 + 5w

Solving for variable 'w'.

Reorder the terms:
78 + -60w + -5w + 60w2 = -78 + 5w + 78 + -5w

Combine like terms: -60w + -5w = -65w
78 + -65w + 60w2 = -78 + 5w + 78 + -5w

Reorder the terms:
78 + -65w + 60w2 = -78 + 78 + 5w + -5w

Combine like terms: -78 + 78 = 0
78 + -65w + 60w2 = 0 + 5w + -5w
78 + -65w + 60w2 = 5w + -5w

Combine like terms: 5w + -5w = 0
78 + -65w + 60w2 = 0

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

Divide each side by '60'.
1.3 + -1.083333333w + w2 = 0.0

Move the constant term to the right:

Add '-1.3' to each side of the equation.
1.3 + -1.083333333w + -1.3 + w2 = 0.0 + -1.3

Reorder the terms:
1.3 + -1.3 + -1.083333333w + w2 = 0.0 + -1.3

Combine like terms: 1.3 + -1.3 = 0.0
0.0 + -1.083333333w + w2 = 0.0 + -1.3
-1.083333333w + w2 = 0.0 + -1.3

Combine like terms: 0.0 + -1.3 = -1.3
-1.083333333w + w2 = -1.3

The w term is -1.083333333w.  Take half its coefficient (-0.5416666665).
Square it (0.2934027776) and add it to both sides.

Add '0.2934027776' to each side of the equation.
-1.083333333w + 0.2934027776 + w2 = -1.3 + 0.2934027776

Reorder the terms:
0.2934027776 + -1.083333333w + w2 = -1.3 + 0.2934027776

Combine like terms: -1.3 + 0.2934027776 = -1.0065972224
0.2934027776 + -1.083333333w + w2 = -1.0065972224

Factor a perfect square on the left side:
(w + -0.5416666665)(w + -0.5416666665) = -1.0065972224

Can't calculate square root of the right side.

The solution to this equation could not be determined.