w^2-9w+54=0

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Solution for w^2-9w+54=0 equation:


Simplifying
w2 + -9w + 54 = 0

Reorder the terms:
54 + -9w + w2 = 0

Solving
54 + -9w + w2 = 0

Solving for variable 'w'.

Begin completing the square.

Move the constant term to the right:

Add '-54' to each side of the equation.
54 + -9w + -54 + w2 = 0 + -54

Reorder the terms:
54 + -54 + -9w + w2 = 0 + -54

Combine like terms: 54 + -54 = 0
0 + -9w + w2 = 0 + -54
-9w + w2 = 0 + -54

Combine like terms: 0 + -54 = -54
-9w + w2 = -54

The w term is -9w.  Take half its coefficient (-4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
-9w + 20.25 + w2 = -54 + 20.25

Reorder the terms:
20.25 + -9w + w2 = -54 + 20.25

Combine like terms: -54 + 20.25 = -33.75
20.25 + -9w + w2 = -33.75

Factor a perfect square on the left side:
(w + -4.5)(w + -4.5) = -33.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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