(w-8)(w+8)=14

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Solution for (w-8)(w+8)=14 equation: 


Simplifying
(w + -8)(w + 8) = 14

Reorder the terms:
(-8 + w)(w + 8) = 14

Reorder the terms:
(-8 + w)(8 + w) = 14

Multiply (-8 + w) * (8 + w)
(-8(8 + w) + w(8 + w)) = 14
((8 * -8 + w * -8) + w(8 + w)) = 14
((-64 + -8w) + w(8 + w)) = 14
(-64 + -8w + (8 * w + w * w)) = 14
(-64 + -8w + (8w + w2)) = 14

Combine like terms: -8w + 8w = 0
(-64 + 0 + w2) = 14
(-64 + w2) = 14

Solving
-64 + w2 = 14

Solving for variable 'w'.

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

Add '64' to each side of the equation.
-64 + 64 + w2 = 14 + 64

Combine like terms: -64 + 64 = 0
0 + w2 = 14 + 64
w2 = 14 + 64

Combine like terms: 14 + 64 = 78
w2 = 78

Simplifying
w2 = 78

Take the square root of each side:
w = {-8.831760866, 8.831760866}

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