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

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

Simplifying
(w + 1)(4w + -4) = 0

Reorder the terms:
(1 + w)(4w + -4) = 0

Reorder the terms:
(1 + w)(-4 + 4w) = 0

Multiply (1 + w) * (-4 + 4w)
(1(-4 + 4w) + w(-4 + 4w)) = 0
((-4 * 1 + 4w * 1) + w(-4 + 4w)) = 0
((-4 + 4w) + w(-4 + 4w)) = 0
(-4 + 4w + (-4 * w + 4w * w)) = 0
(-4 + 4w + (-4w + 4w2)) = 0

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

Solving
-4 + 4w2 = 0

Solving for variable 'w'.

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

Add '4' to each side of the equation.
-4 + 4 + 4w2 = 0 + 4

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

Combine like terms: 0 + 4 = 4
4w2 = 4

Divide each side by '4'.
w2 = 1

Simplifying
w2 = 1

Take the square root of each side:
w = {-1, 1}