w^2=7(w-6)

Solution for w^2=7(w-6) equation:

Simplifying
w2 = 7(w + -6)

Reorder the terms:
w2 = 7(-6 + w)
w2 = (-6 * 7 + w * 7)
w2 = (-42 + 7w)

Solving
w2 = -42 + 7w

Solving for variable 'w'.

Reorder the terms:
42 + -7w + w2 = -42 + 7w + 42 + -7w

Reorder the terms:
42 + -7w + w2 = -42 + 42 + 7w + -7w

Combine like terms: -42 + 42 = 0
42 + -7w + w2 = 0 + 7w + -7w
42 + -7w + w2 = 7w + -7w

Combine like terms: 7w + -7w = 0
42 + -7w + w2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-42' to each side of the equation.
42 + -7w + -42 + w2 = 0 + -42

Reorder the terms:
42 + -42 + -7w + w2 = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -7w + w2 = 0 + -42
-7w + w2 = 0 + -42

Combine like terms: 0 + -42 = -42
-7w + w2 = -42

The w term is -7w.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7w + 12.25 + w2 = -42 + 12.25

Reorder the terms:
12.25 + -7w + w2 = -42 + 12.25

Combine like terms: -42 + 12.25 = -29.75
12.25 + -7w + w2 = -29.75

Factor a perfect square on the left side:
(w + -3.5)(w + -3.5) = -29.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.