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Simplifying
8z2 + -512 = 0
Reorder the terms:
-512 + 8z2 = 0
Solving
-512 + 8z2 = 0
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '512' to each side of the equation.
-512 + 512 + 8z2 = 0 + 512
Combine like terms: -512 + 512 = 0
0 + 8z2 = 0 + 512
8z2 = 0 + 512
Combine like terms: 0 + 512 = 512
8z2 = 512
Divide each side by '8'.
z2 = 64
Simplifying
z2 = 64
Take the square root of each side:
z = {-8, 8}
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