(x-1)*(x-1)=-7

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Solution for (x-1)*(x-1)=-7 equation:


Simplifying
(x + -1)(x + -1) = -7

Reorder the terms:
(-1 + x)(x + -1) = -7

Reorder the terms:
(-1 + x)(-1 + x) = -7

Multiply (-1 + x) * (-1 + x)
(-1(-1 + x) + x(-1 + x)) = -7
((-1 * -1 + x * -1) + x(-1 + x)) = -7
((1 + -1x) + x(-1 + x)) = -7
(1 + -1x + (-1 * x + x * x)) = -7
(1 + -1x + (-1x + x2)) = -7

Combine like terms: -1x + -1x = -2x
(1 + -2x + x2) = -7

Solving
1 + -2x + x2 = -7

Solving for variable 'x'.

Reorder the terms:
1 + 7 + -2x + x2 = -7 + 7

Combine like terms: 1 + 7 = 8
8 + -2x + x2 = -7 + 7

Combine like terms: -7 + 7 = 0
8 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -2x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -2x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -2x + x2 = 0 + -8
-2x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-2x + x2 = -8

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

Add '1' to each side of the equation.
-2x + 1 + x2 = -8 + 1

Reorder the terms:
1 + -2x + x2 = -8 + 1

Combine like terms: -8 + 1 = -7
1 + -2x + x2 = -7

Factor a perfect square on the left side:
(x + -1)(x + -1) = -7

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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