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Simplifying
36a2 + -1b2 = 0
Solving
36a2 + -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.
36a2 + -1b2 + b2 = 0 + b2
Combine like terms: -1b2 + b2 = 0
36a2 + 0 = 0 + b2
36a2 = 0 + b2
Remove the zero:
36a2 = b2
Divide each side by '36'.
a2 = 0.02777777778b2
Simplifying
a2 = 0.02777777778b2
Take the square root of each side:
a = {-0.166666667b, 0.166666667b}
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