w^2=9(w-7)

Solution for w^2=9(w-7) equation:

Simplifying
w2 = 9(w + -7)

Reorder the terms:
w2 = 9(-7 + w)
w2 = (-7 * 9 + w * 9)
w2 = (-63 + 9w)

Solving
w2 = -63 + 9w

Solving for variable 'w'.

Reorder the terms:
63 + -9w + w2 = -63 + 9w + 63 + -9w

Reorder the terms:
63 + -9w + w2 = -63 + 63 + 9w + -9w

Combine like terms: -63 + 63 = 0
63 + -9w + w2 = 0 + 9w + -9w
63 + -9w + w2 = 9w + -9w

Combine like terms: 9w + -9w = 0
63 + -9w + w2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-63' to each side of the equation.
63 + -9w + -63 + w2 = 0 + -63

Reorder the terms:
63 + -63 + -9w + w2 = 0 + -63

Combine like terms: 63 + -63 = 0
0 + -9w + w2 = 0 + -63
-9w + w2 = 0 + -63

Combine like terms: 0 + -63 = -63
-9w + w2 = -63

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 = -63 + 20.25

Reorder the terms:
20.25 + -9w + w2 = -63 + 20.25

Combine like terms: -63 + 20.25 = -42.75
20.25 + -9w + w2 = -42.75

Factor a perfect square on the left side:
(w + -4.5)(w + -4.5) = -42.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.