w(w-5)-w=(w+5)(w-5)

Solution for w(w-5)-w=(w+5)(w-5) equation:

Simplifying
w(w + -5) + -1w = (w + 5)(w + -5)

Reorder the terms:
w(-5 + w) + -1w = (w + 5)(w + -5)
(-5 * w + w * w) + -1w = (w + 5)(w + -5)
(-5w + w2) + -1w = (w + 5)(w + -5)

Reorder the terms:
-5w + -1w + w2 = (w + 5)(w + -5)

Combine like terms: -5w + -1w = -6w
-6w + w2 = (w + 5)(w + -5)

Reorder the terms:
-6w + w2 = (5 + w)(w + -5)

Reorder the terms:
-6w + w2 = (5 + w)(-5 + w)

Multiply (5 + w) * (-5 + w)
-6w + w2 = (5(-5 + w) + w(-5 + w))
-6w + w2 = ((-5 * 5 + w * 5) + w(-5 + w))
-6w + w2 = ((-25 + 5w) + w(-5 + w))
-6w + w2 = (-25 + 5w + (-5 * w + w * w))
-6w + w2 = (-25 + 5w + (-5w + w2))

Combine like terms: 5w + -5w = 0
-6w + w2 = (-25 + 0 + w2)
-6w + w2 = (-25 + w2)

Add '-1w2' to each side of the equation.
-6w + w2 + -1w2 = -25 + w2 + -1w2

Combine like terms: w2 + -1w2 = 0
-6w + 0 = -25 + w2 + -1w2
-6w = -25 + w2 + -1w2

Combine like terms: w2 + -1w2 = 0
-6w = -25 + 0
-6w = -25

Solving
-6w = -25

Solving for variable 'w'.

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

Divide each side by '-6'.
w = 4.166666667

Simplifying
w = 4.166666667