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Simplifying
2z2 + 16 + -210 = 0
Reorder the terms:
16 + -210 + 2z2 = 0
Combine like terms: 16 + -210 = -194
-194 + 2z2 = 0
Solving
-194 + 2z2 = 0
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '194' to each side of the equation.
-194 + 194 + 2z2 = 0 + 194
Combine like terms: -194 + 194 = 0
0 + 2z2 = 0 + 194
2z2 = 0 + 194
Combine like terms: 0 + 194 = 194
2z2 = 194
Divide each side by '2'.
z2 = 97
Simplifying
z2 = 97
Take the square root of each side:
z = {-9.848857802, 9.848857802}
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