(w+8)(w-8)-(w-6)(w-8)=

Solution for (w+8)(w-8)-(w-6)(w-8)= equation:

Simplifying
(w + 8)(w + -8) + -1(w + -6)(w + -8) = 0

Reorder the terms:
(8 + w)(w + -8) + -1(w + -6)(w + -8) = 0

Reorder the terms:
(8 + w)(-8 + w) + -1(w + -6)(w + -8) = 0

Multiply (8 + w) * (-8 + w)
(8(-8 + w) + w(-8 + w)) + -1(w + -6)(w + -8) = 0
((-8 * 8 + w * 8) + w(-8 + w)) + -1(w + -6)(w + -8) = 0
((-64 + 8w) + w(-8 + w)) + -1(w + -6)(w + -8) = 0
(-64 + 8w + (-8 * w + w * w)) + -1(w + -6)(w + -8) = 0
(-64 + 8w + (-8w + w2)) + -1(w + -6)(w + -8) = 0

Combine like terms: 8w + -8w = 0
(-64 + 0 + w2) + -1(w + -6)(w + -8) = 0
(-64 + w2) + -1(w + -6)(w + -8) = 0

Reorder the terms:
-64 + w2 + -1(-6 + w)(w + -8) = 0

Reorder the terms:
-64 + w2 + -1(-6 + w)(-8 + w) = 0

Multiply (-6 + w) * (-8 + w)
-64 + w2 + -1(-6(-8 + w) + w(-8 + w)) = 0
-64 + w2 + -1((-8 * -6 + w * -6) + w(-8 + w)) = 0
-64 + w2 + -1((48 + -6w) + w(-8 + w)) = 0
-64 + w2 + -1(48 + -6w + (-8 * w + w * w)) = 0
-64 + w2 + -1(48 + -6w + (-8w + w2)) = 0

Combine like terms: -6w + -8w = -14w
-64 + w2 + -1(48 + -14w + w2) = 0
-64 + w2 + (48 * -1 + -14w * -1 + w2 * -1) = 0
-64 + w2 + (-48 + 14w + -1w2) = 0

Reorder the terms:
-64 + -48 + 14w + w2 + -1w2 = 0

Combine like terms: -64 + -48 = -112
-112 + 14w + w2 + -1w2 = 0

Combine like terms: w2 + -1w2 = 0
-112 + 14w + 0 = 0
-112 + 14w = 0

Solving
-112 + 14w = 0

Solving for variable 'w'.

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

Add '112' to each side of the equation.
-112 + 112 + 14w = 0 + 112

Combine like terms: -112 + 112 = 0
0 + 14w = 0 + 112
14w = 0 + 112

Combine like terms: 0 + 112 = 112
14w = 112

Divide each side by '14'.
w = 8

Simplifying
w = 8