(ab+8)(ab-8)=

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Solution for (ab+8)(ab-8)= equation:


Simplifying
(ab + 8)(ab + -8) = 0

Reorder the terms:
(8 + ab)(ab + -8) = 0

Reorder the terms:
(8 + ab)(-8 + ab) = 0

Multiply (8 + ab) * (-8 + ab)
(8(-8 + ab) + ab(-8 + ab)) = 0
((-8 * 8 + ab * 8) + ab(-8 + ab)) = 0
((-64 + 8ab) + ab(-8 + ab)) = 0
(-64 + 8ab + (-8 * ab + ab * ab)) = 0
(-64 + 8ab + (-8ab + a2b2)) = 0

Combine like terms: 8ab + -8ab = 0
(-64 + 0 + a2b2) = 0
(-64 + a2b2) = 0

Solving
-64 + a2b2 = 0

Solving for variable 'a'.

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

Add '64' to each side of the equation.
-64 + 64 + a2b2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + a2b2 = 0 + 64
a2b2 = 0 + 64

Combine like terms: 0 + 64 = 64
a2b2 = 64

Divide each side by 'b2'.
a2 = 64b-2

Simplifying
a2 = 64b-2

Take the square root of each side:
a = {-8b-1, 8b-1}

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