(w-1)(w+1)=w(w-4)

Solution for (w-1)(w+1)=w(w-4) equation:

Simplifying
(w + -1)(w + 1) = w(w + -4)

Reorder the terms:
(-1 + w)(w + 1) = w(w + -4)

Reorder the terms:
(-1 + w)(1 + w) = w(w + -4)

Multiply (-1 + w) * (1 + w)
(-1(1 + w) + w(1 + w)) = w(w + -4)
((1 * -1 + w * -1) + w(1 + w)) = w(w + -4)
((-1 + -1w) + w(1 + w)) = w(w + -4)
(-1 + -1w + (1 * w + w * w)) = w(w + -4)
(-1 + -1w + (1w + w2)) = w(w + -4)

Combine like terms: -1w + 1w = 0
(-1 + 0 + w2) = w(w + -4)
(-1 + w2) = w(w + -4)

Reorder the terms:
-1 + w2 = w(-4 + w)
-1 + w2 = (-4 * w + w * w)
-1 + w2 = (-4w + w2)

Add '-1w2' to each side of the equation.
-1 + w2 + -1w2 = -4w + w2 + -1w2

Combine like terms: w2 + -1w2 = 0
-1 + 0 = -4w + w2 + -1w2
-1 = -4w + w2 + -1w2

Combine like terms: w2 + -1w2 = 0
-1 = -4w + 0
-1 = -4w

Solving
-1 = -4w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '4w' to each side of the equation.
-1 + 4w = -4w + 4w

Combine like terms: -4w + 4w = 0
-1 + 4w = 0

Add '1' to each side of the equation.
-1 + 1 + 4w = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4w = 0 + 1
4w = 0 + 1

Combine like terms: 0 + 1 = 1
4w = 1

Divide each side by '4'.
w = 0.25

Simplifying
w = 0.25