1-c^2=4(1+c+2)

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Solution for 1-c^2=4(1+c+2) equation: 


Simplifying
1 + -1c2 = 4(1 + c + 2)

Reorder the terms:
1 + -1c2 = 4(1 + 2 + c)

Combine like terms: 1 + 2 = 3
1 + -1c2 = 4(3 + c)
1 + -1c2 = (3 * 4 + c * 4)
1 + -1c2 = (12 + 4c)

Solving
1 + -1c2 = 12 + 4c

Solving for variable 'c'.

Reorder the terms:
1 + -12 + -4c + -1c2 = 12 + 4c + -12 + -4c

Combine like terms: 1 + -12 = -11
-11 + -4c + -1c2 = 12 + 4c + -12 + -4c

Reorder the terms:
-11 + -4c + -1c2 = 12 + -12 + 4c + -4c

Combine like terms: 12 + -12 = 0
-11 + -4c + -1c2 = 0 + 4c + -4c
-11 + -4c + -1c2 = 4c + -4c

Combine like terms: 4c + -4c = 0
-11 + -4c + -1c2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(11 + 4c + c2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(11 + 4c + c2)' equal to zero and attempt to solve:

Simplifying
11 + 4c + c2 = 0

Solving
11 + 4c + c2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + 4c + -11 + c2 = 0 + -11

Reorder the terms:
11 + -11 + 4c + c2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 4c + c2 = 0 + -11
4c + c2 = 0 + -11

Combine like terms: 0 + -11 = -11
4c + c2 = -11

The c term is 4c.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4c + 4 + c2 = -11 + 4

Reorder the terms:
4 + 4c + c2 = -11 + 4

Combine like terms: -11 + 4 = -7
4 + 4c + c2 = -7

Factor a perfect square on the left side:
(c + 2)(c + 2) = -7

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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