w(4-w)=144

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Solution for w(4-w)=144 equation:


Simplifying
w(4 + -1w) = 144
(4 * w + -1w * w) = 144
(4w + -1w2) = 144

Solving
4w + -1w2 = 144

Solving for variable 'w'.

Reorder the terms:
-144 + 4w + -1w2 = 144 + -144

Combine like terms: 144 + -144 = 0
-144 + 4w + -1w2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
144 + -4w + w2 = 0

Move the constant term to the right:

Add '-144' to each side of the equation.
144 + -4w + -144 + w2 = 0 + -144

Reorder the terms:
144 + -144 + -4w + w2 = 0 + -144

Combine like terms: 144 + -144 = 0
0 + -4w + w2 = 0 + -144
-4w + w2 = 0 + -144

Combine like terms: 0 + -144 = -144
-4w + w2 = -144

The w term is -4w.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4w + 4 + w2 = -144 + 4

Reorder the terms:
4 + -4w + w2 = -144 + 4

Combine like terms: -144 + 4 = -140
4 + -4w + w2 = -140

Factor a perfect square on the left side:
(w + -2)(w + -2) = -140

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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