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Simplifying
81r2 + -100 = 0
Reorder the terms:
-100 + 81r2 = 0
Solving
-100 + 81r2 = 0
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '100' to each side of the equation.
-100 + 100 + 81r2 = 0 + 100
Combine like terms: -100 + 100 = 0
0 + 81r2 = 0 + 100
81r2 = 0 + 100
Combine like terms: 0 + 100 = 100
81r2 = 100
Divide each side by '81'.
r2 = 1.234567901
Simplifying
r2 = 1.234567901
Take the square root of each side:
r = {-1.111111111, 1.111111111}
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