x^2-4x+4=-3

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Solution for x^2-4x+4=-3 equation:


Simplifying
x2 + -4x + 4 = -3

Reorder the terms:
4 + -4x + x2 = -3

Solving
4 + -4x + x2 = -3

Solving for variable 'x'.

Reorder the terms:
4 + 3 + -4x + x2 = -3 + 3

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

Combine like terms: -3 + 3 = 0
7 + -4x + x2 = 0

Begin completing the square.

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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