3w(6-w)+2=144

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Solution for 3w(6-w)+2=144 equation:


Simplifying
3w(6 + -1w) + 2 = 144
(6 * 3w + -1w * 3w) + 2 = 144
(18w + -3w2) + 2 = 144

Reorder the terms:
2 + 18w + -3w2 = 144

Solving
2 + 18w + -3w2 = 144

Solving for variable 'w'.

Reorder the terms:
2 + -144 + 18w + -3w2 = 144 + -144

Combine like terms: 2 + -144 = -142
-142 + 18w + -3w2 = 144 + -144

Combine like terms: 144 + -144 = 0
-142 + 18w + -3w2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
47.33333333 + -6w + w2 = 0

Move the constant term to the right:

Add '-47.33333333' to each side of the equation.
47.33333333 + -6w + -47.33333333 + w2 = 0 + -47.33333333

Reorder the terms:
47.33333333 + -47.33333333 + -6w + w2 = 0 + -47.33333333

Combine like terms: 47.33333333 + -47.33333333 = 0.00000000
0.00000000 + -6w + w2 = 0 + -47.33333333
-6w + w2 = 0 + -47.33333333

Combine like terms: 0 + -47.33333333 = -47.33333333
-6w + w2 = -47.33333333

The w term is -6w.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6w + 9 + w2 = -47.33333333 + 9

Reorder the terms:
9 + -6w + w2 = -47.33333333 + 9

Combine like terms: -47.33333333 + 9 = -38.33333333
9 + -6w + w2 = -38.33333333

Factor a perfect square on the left side:
(w + -3)(w + -3) = -38.33333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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