(a-8)(a+8)=a^2-64

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Solution for (a-8)(a+8)=a^2-64 equation:


Simplifying
(a + -8)(a + 8) = a2 + -64

Reorder the terms:
(-8 + a)(a + 8) = a2 + -64

Reorder the terms:
(-8 + a)(8 + a) = a2 + -64

Multiply (-8 + a) * (8 + a)
(-8(8 + a) + a(8 + a)) = a2 + -64
((8 * -8 + a * -8) + a(8 + a)) = a2 + -64
((-64 + -8a) + a(8 + a)) = a2 + -64
(-64 + -8a + (8 * a + a * a)) = a2 + -64
(-64 + -8a + (8a + a2)) = a2 + -64

Combine like terms: -8a + 8a = 0
(-64 + 0 + a2) = a2 + -64
(-64 + a2) = a2 + -64

Reorder the terms:
-64 + a2 = -64 + a2

Add '64' to each side of the equation.
-64 + 64 + a2 = -64 + 64 + a2

Combine like terms: -64 + 64 = 0
0 + a2 = -64 + 64 + a2
a2 = -64 + 64 + a2

Combine like terms: -64 + 64 = 0
a2 = 0 + a2
a2 = a2

Add '-1a2' to each side of the equation.
a2 + -1a2 = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
0 = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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