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Simplifying
(8 + z)(8 + -1z) = 0
Multiply (8 + z) * (8 + -1z)
(8(8 + -1z) + z(8 + -1z)) = 0
((8 * 8 + -1z * 8) + z(8 + -1z)) = 0
((64 + -8z) + z(8 + -1z)) = 0
(64 + -8z + (8 * z + -1z * z)) = 0
(64 + -8z + (8z + -1z2)) = 0
Combine like terms: -8z + 8z = 0
(64 + 0 + -1z2) = 0
(64 + -1z2) = 0
Solving
64 + -1z2 = 0
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-64' to each side of the equation.
64 + -64 + -1z2 = 0 + -64
Combine like terms: 64 + -64 = 0
0 + -1z2 = 0 + -64
-1z2 = 0 + -64
Combine like terms: 0 + -64 = -64
-1z2 = -64
Divide each side by '-1'.
z2 = 64
Simplifying
z2 = 64
Take the square root of each side:
z = {-8, 8}
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