(w+5)(w-1)=(w+3)(w-3)

Solution for (w+5)(w-1)=(w+3)(w-3) equation:

Simplifying
(w + 5)(w + -1) = (w + 3)(w + -3)

Reorder the terms:
(5 + w)(w + -1) = (w + 3)(w + -3)

Reorder the terms:
(5 + w)(-1 + w) = (w + 3)(w + -3)

Multiply (5 + w) * (-1 + w)
(5(-1 + w) + w(-1 + w)) = (w + 3)(w + -3)
((-1 * 5 + w * 5) + w(-1 + w)) = (w + 3)(w + -3)
((-5 + 5w) + w(-1 + w)) = (w + 3)(w + -3)
(-5 + 5w + (-1 * w + w * w)) = (w + 3)(w + -3)
(-5 + 5w + (-1w + w2)) = (w + 3)(w + -3)

Combine like terms: 5w + -1w = 4w
(-5 + 4w + w2) = (w + 3)(w + -3)

Reorder the terms:
-5 + 4w + w2 = (3 + w)(w + -3)

Reorder the terms:
-5 + 4w + w2 = (3 + w)(-3 + w)

Multiply (3 + w) * (-3 + w)
-5 + 4w + w2 = (3(-3 + w) + w(-3 + w))
-5 + 4w + w2 = ((-3 * 3 + w * 3) + w(-3 + w))
-5 + 4w + w2 = ((-9 + 3w) + w(-3 + w))
-5 + 4w + w2 = (-9 + 3w + (-3 * w + w * w))
-5 + 4w + w2 = (-9 + 3w + (-3w + w2))

Combine like terms: 3w + -3w = 0
-5 + 4w + w2 = (-9 + 0 + w2)
-5 + 4w + w2 = (-9 + w2)

Add '-1w2' to each side of the equation.
-5 + 4w + w2 + -1w2 = -9 + w2 + -1w2

Combine like terms: w2 + -1w2 = 0
-5 + 4w + 0 = -9 + w2 + -1w2
-5 + 4w = -9 + w2 + -1w2

Combine like terms: w2 + -1w2 = 0
-5 + 4w = -9 + 0
-5 + 4w = -9

Solving
-5 + 4w = -9

Solving for variable 'w'.

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

Add '5' to each side of the equation.
-5 + 5 + 4w = -9 + 5

Combine like terms: -5 + 5 = 0
0 + 4w = -9 + 5
4w = -9 + 5

Combine like terms: -9 + 5 = -4
4w = -4

Divide each side by '4'.
w = -1

Simplifying
w = -1