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Simplifying
9c2 + -100 = 0
Reorder the terms:
-100 + 9c2 = 0
Solving
-100 + 9c2 = 0
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '100' to each side of the equation.
-100 + 100 + 9c2 = 0 + 100
Combine like terms: -100 + 100 = 0
0 + 9c2 = 0 + 100
9c2 = 0 + 100
Combine like terms: 0 + 100 = 100
9c2 = 100
Divide each side by '9'.
c2 = 11.11111111
Simplifying
c2 = 11.11111111
Take the square root of each side:
c = {-3.333333333, 3.333333333}
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