w^2=7(w-5)

Solution for w^2=7(w-5) equation:

Simplifying
w2 = 7(w + -5)

Reorder the terms:
w2 = 7(-5 + w)
w2 = (-5 * 7 + w * 7)
w2 = (-35 + 7w)

Solving
w2 = -35 + 7w

Solving for variable 'w'.

Reorder the terms:
35 + -7w + w2 = -35 + 7w + 35 + -7w

Reorder the terms:
35 + -7w + w2 = -35 + 35 + 7w + -7w

Combine like terms: -35 + 35 = 0
35 + -7w + w2 = 0 + 7w + -7w
35 + -7w + w2 = 7w + -7w

Combine like terms: 7w + -7w = 0
35 + -7w + w2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-35' to each side of the equation.
35 + -7w + -35 + w2 = 0 + -35

Reorder the terms:
35 + -35 + -7w + w2 = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -7w + w2 = 0 + -35
-7w + w2 = 0 + -35

Combine like terms: 0 + -35 = -35
-7w + w2 = -35

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 = -35 + 12.25

Reorder the terms:
12.25 + -7w + w2 = -35 + 12.25

Combine like terms: -35 + 12.25 = -22.75
12.25 + -7w + w2 = -22.75

Factor a perfect square on the left side:
(w + -3.5)(w + -3.5) = -22.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.