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Simplifying
4c2 + -23 + 5c2 = 0
Reorder the terms:
-23 + 4c2 + 5c2 = 0
Combine like terms: 4c2 + 5c2 = 9c2
-23 + 9c2 = 0
Solving
-23 + 9c2 = 0
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '23' to each side of the equation.
-23 + 23 + 9c2 = 0 + 23
Combine like terms: -23 + 23 = 0
0 + 9c2 = 0 + 23
9c2 = 0 + 23
Combine like terms: 0 + 23 = 23
9c2 = 23
Divide each side by '9'.
c2 = 2.555555556
Simplifying
c2 = 2.555555556
Take the square root of each side:
c = {-1.598610508, 1.598610508}
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