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Simplifying
8 + -50z2 = 0
Solving
8 + -50z2 = 0
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + -50z2 = 0 + -8
Combine like terms: 8 + -8 = 0
0 + -50z2 = 0 + -8
-50z2 = 0 + -8
Combine like terms: 0 + -8 = -8
-50z2 = -8
Divide each side by '-50'.
z2 = 0.16
Simplifying
z2 = 0.16
Take the square root of each side:
z = {-0.4, 0.4}
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