(w^2-6w+15)=0

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Solution for (w^2-6w+15)=0 equation:


Simplifying
(w2 + -6w + 15) = 0

Reorder the terms:
(15 + -6w + w2) = 0

Remove parenthesis around (15 + -6w + w2)
15 + -6w + w2 = 0

Solving
15 + -6w + w2 = 0

Solving for variable 'w'.

Begin completing the square.

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + -6w + -15 + w2 = 0 + -15

Reorder the terms:
15 + -15 + -6w + w2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -6w + w2 = 0 + -15
-6w + w2 = 0 + -15

Combine like terms: 0 + -15 = -15
-6w + w2 = -15

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 = -15 + 9

Reorder the terms:
9 + -6w + w2 = -15 + 9

Combine like terms: -15 + 9 = -6
9 + -6w + w2 = -6

Factor a perfect square on the left side:
(w + -3)(w + -3) = -6

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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