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Simplifying
(9c + 10)(9c + -10) = 0
Reorder the terms:
(10 + 9c)(9c + -10) = 0
Reorder the terms:
(10 + 9c)(-10 + 9c) = 0
Multiply (10 + 9c) * (-10 + 9c)
(10(-10 + 9c) + 9c * (-10 + 9c)) = 0
((-10 * 10 + 9c * 10) + 9c * (-10 + 9c)) = 0
((-100 + 90c) + 9c * (-10 + 9c)) = 0
(-100 + 90c + (-10 * 9c + 9c * 9c)) = 0
(-100 + 90c + (-90c + 81c2)) = 0
Combine like terms: 90c + -90c = 0
(-100 + 0 + 81c2) = 0
(-100 + 81c2) = 0
Solving
-100 + 81c2 = 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 + 81c2 = 0 + 100
Combine like terms: -100 + 100 = 0
0 + 81c2 = 0 + 100
81c2 = 0 + 100
Combine like terms: 0 + 100 = 100
81c2 = 100
Divide each side by '81'.
c2 = 1.234567901
Simplifying
c2 = 1.234567901
Take the square root of each side:
c = {-1.111111111, 1.111111111}
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