(-3)=(x-2)(x-2)

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Solution for (-3)=(x-2)(x-2) equation:


Simplifying
(-3) = (x + -2)(x + -2)
-3 = (x + -2)(x + -2)

Reorder the terms:
-3 = (-2 + x)(x + -2)

Reorder the terms:
-3 = (-2 + x)(-2 + x)

Multiply (-2 + x) * (-2 + x)
-3 = (-2(-2 + x) + x(-2 + x))
-3 = ((-2 * -2 + x * -2) + x(-2 + x))
-3 = ((4 + -2x) + x(-2 + x))
-3 = (4 + -2x + (-2 * x + x * x))
-3 = (4 + -2x + (-2x + x2))

Combine like terms: -2x + -2x = -4x
-3 = (4 + -4x + x2)

Solving
-3 = 4 + -4x + x2

Solving for variable 'x'.

Combine like terms: -3 + -4 = -7
-7 + 4x + -1x2 = 4 + -4x + x2 + -4 + 4x + -1x2

Reorder the terms:
-7 + 4x + -1x2 = 4 + -4 + -4x + 4x + x2 + -1x2

Combine like terms: 4 + -4 = 0
-7 + 4x + -1x2 = 0 + -4x + 4x + x2 + -1x2
-7 + 4x + -1x2 = -4x + 4x + x2 + -1x2

Combine like terms: -4x + 4x = 0
-7 + 4x + -1x2 = 0 + x2 + -1x2
-7 + 4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-7 + 4x + -1x2 = 0

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

Divide each side by '-1'.
7 + -4x + x2 = 0

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + -4x + -7 + x2 = 0 + -7

Reorder the terms:
7 + -7 + -4x + x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4x + x2 = 0 + -7
-4x + x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-4x + x2 = -7

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

Add '4' to each side of the equation.
-4x + 4 + x2 = -7 + 4

Reorder the terms:
4 + -4x + x2 = -7 + 4

Combine like terms: -7 + 4 = -3
4 + -4x + x2 = -3

Factor a perfect square on the left side:
(x + -2)(x + -2) = -3

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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