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Simplifying
(14c + 15)(14c + -15) = 0
Reorder the terms:
(15 + 14c)(14c + -15) = 0
Reorder the terms:
(15 + 14c)(-15 + 14c) = 0
Multiply (15 + 14c) * (-15 + 14c)
(15(-15 + 14c) + 14c * (-15 + 14c)) = 0
((-15 * 15 + 14c * 15) + 14c * (-15 + 14c)) = 0
((-225 + 210c) + 14c * (-15 + 14c)) = 0
(-225 + 210c + (-15 * 14c + 14c * 14c)) = 0
(-225 + 210c + (-210c + 196c2)) = 0
Combine like terms: 210c + -210c = 0
(-225 + 0 + 196c2) = 0
(-225 + 196c2) = 0
Solving
-225 + 196c2 = 0
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '225' to each side of the equation.
-225 + 225 + 196c2 = 0 + 225
Combine like terms: -225 + 225 = 0
0 + 196c2 = 0 + 225
196c2 = 0 + 225
Combine like terms: 0 + 225 = 225
196c2 = 225
Divide each side by '196'.
c2 = 1.147959184
Simplifying
c2 = 1.147959184
Take the square root of each side:
c = {-1.071428572, 1.071428572}
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