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Simplifying
81a2 + -1b2 = 0
Solving
81a2 + -1b2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add 'b2' to each side of the equation.
81a2 + -1b2 + b2 = 0 + b2
Combine like terms: -1b2 + b2 = 0
81a2 + 0 = 0 + b2
81a2 = 0 + b2
Remove the zero:
81a2 = b2
Divide each side by '81'.
a2 = 0.01234567901b2
Simplifying
a2 = 0.01234567901b2
Take the square root of each side:
a = {-0.111111111b, 0.111111111b}
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