w^2-15w+144=0

Solution for w^2-15w+144=0 equation:

Simplifying
w2 + -15w + 144 = 0

Reorder the terms:
144 + -15w + w2 = 0

Solving
144 + -15w + w2 = 0

Solving for variable 'w'.

Begin completing the square.

Move the constant term to the right:

Add '-144' to each side of the equation.
144 + -15w + -144 + w2 = 0 + -144

Reorder the terms:
144 + -144 + -15w + w2 = 0 + -144

Combine like terms: 144 + -144 = 0
0 + -15w + w2 = 0 + -144
-15w + w2 = 0 + -144

Combine like terms: 0 + -144 = -144
-15w + w2 = -144

The w term is -15w.  Take half its coefficient (-7.5).
Square it (56.25) and add it to both sides.

Add '56.25' to each side of the equation.
-15w + 56.25 + w2 = -144 + 56.25

Reorder the terms:
56.25 + -15w + w2 = -144 + 56.25

Combine like terms: -144 + 56.25 = -87.75
56.25 + -15w + w2 = -87.75

Factor a perfect square on the left side:
(w + -7.5)(w + -7.5) = -87.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.