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Simplifying
1 + -1(9z)(9z) = 0
Remove parenthesis around (9z)
1 + -1 * 9z(9z) = 0
Remove parenthesis around (9z)
1 + -1 * 9z * 9z = 0
Reorder the terms for easier multiplication:
1 + -1 * 9 * 9z * z = 0
Multiply -1 * 9
1 + -9 * 9z * z = 0
Multiply -9 * 9
1 + -81z * z = 0
Multiply z * z
1 + -81z2 = 0
Solving
1 + -81z2 = 0
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -81z2 = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -81z2 = 0 + -1
-81z2 = 0 + -1
Combine like terms: 0 + -1 = -1
-81z2 = -1
Divide each side by '-81'.
z2 = 0.01234567901
Simplifying
z2 = 0.01234567901
Take the square root of each side:
z = {-0.111111111, 0.111111111}
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