c^2=-48-2c

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Solution for c^2=-48-2c equation:


Simplifying
c2 = -48 + -2c

Solving
c2 = -48 + -2c

Solving for variable 'c'.

Reorder the terms:
48 + 2c + c2 = -48 + -2c + 48 + 2c

Reorder the terms:
48 + 2c + c2 = -48 + 48 + -2c + 2c

Combine like terms: -48 + 48 = 0
48 + 2c + c2 = 0 + -2c + 2c
48 + 2c + c2 = -2c + 2c

Combine like terms: -2c + 2c = 0
48 + 2c + c2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-48' to each side of the equation.
48 + 2c + -48 + c2 = 0 + -48

Reorder the terms:
48 + -48 + 2c + c2 = 0 + -48

Combine like terms: 48 + -48 = 0
0 + 2c + c2 = 0 + -48
2c + c2 = 0 + -48

Combine like terms: 0 + -48 = -48
2c + c2 = -48

The c term is 2c.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2c + 1 + c2 = -48 + 1

Reorder the terms:
1 + 2c + c2 = -48 + 1

Combine like terms: -48 + 1 = -47
1 + 2c + c2 = -47

Factor a perfect square on the left side:
(c + 1)(c + 1) = -47

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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