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Simplifying
8z2 + -2 = 0
Reorder the terms:
-2 + 8z2 = 0
Solving
-2 + 8z2 = 0
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + 8z2 = 0 + 2
Combine like terms: -2 + 2 = 0
0 + 8z2 = 0 + 2
8z2 = 0 + 2
Combine like terms: 0 + 2 = 2
8z2 = 2
Divide each side by '8'.
z2 = 0.25
Simplifying
z2 = 0.25
Take the square root of each side:
z = {-0.5, 0.5}
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