3=(c-1)(c-1)+7

Solution for 3=(c-1)(c-1)+7 equation:

Simplifying
3 = (c + -1)(c + -1) + 7

Reorder the terms:
3 = (-1 + c)(c + -1) + 7

Reorder the terms:
3 = (-1 + c)(-1 + c) + 7

Multiply (-1 + c) * (-1 + c)
3 = (-1(-1 + c) + c(-1 + c)) + 7
3 = ((-1 * -1 + c * -1) + c(-1 + c)) + 7
3 = ((1 + -1c) + c(-1 + c)) + 7
3 = (1 + -1c + (-1 * c + c * c)) + 7
3 = (1 + -1c + (-1c + c2)) + 7

Combine like terms: -1c + -1c = -2c
3 = (1 + -2c + c2) + 7

Reorder the terms:
3 = 1 + 7 + -2c + c2

Combine like terms: 1 + 7 = 8
3 = 8 + -2c + c2

Solving
3 = 8 + -2c + c2

Solving for variable 'c'.

Combine like terms: 3 + -8 = -5
-5 + 2c + -1c2 = 8 + -2c + c2 + -8 + 2c + -1c2

Reorder the terms:
-5 + 2c + -1c2 = 8 + -8 + -2c + 2c + c2 + -1c2

Combine like terms: 8 + -8 = 0
-5 + 2c + -1c2 = 0 + -2c + 2c + c2 + -1c2
-5 + 2c + -1c2 = -2c + 2c + c2 + -1c2

Combine like terms: -2c + 2c = 0
-5 + 2c + -1c2 = 0 + c2 + -1c2
-5 + 2c + -1c2 = c2 + -1c2

Combine like terms: c2 + -1c2 = 0
-5 + 2c + -1c2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
5 + -2c + c2 = 0

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -2c + -5 + c2 = 0 + -5

Reorder the terms:
5 + -5 + -2c + c2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2c + c2 = 0 + -5
-2c + c2 = 0 + -5

Combine like terms: 0 + -5 = -5
-2c + c2 = -5

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 = -5 + 1

Reorder the terms:
1 + -2c + c2 = -5 + 1

Combine like terms: -5 + 1 = -4
1 + -2c + c2 = -4

Factor a perfect square on the left side:
(c + -1)(c + -1) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.