(x-4)(x-4)=-4

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Solution for (x-4)(x-4)=-4 equation:


Simplifying
(x + -4)(x + -4) = -4

Reorder the terms:
(-4 + x)(x + -4) = -4

Reorder the terms:
(-4 + x)(-4 + x) = -4

Multiply (-4 + x) * (-4 + x)
(-4(-4 + x) + x(-4 + x)) = -4
((-4 * -4 + x * -4) + x(-4 + x)) = -4
((16 + -4x) + x(-4 + x)) = -4
(16 + -4x + (-4 * x + x * x)) = -4
(16 + -4x + (-4x + x2)) = -4

Combine like terms: -4x + -4x = -8x
(16 + -8x + x2) = -4

Solving
16 + -8x + x2 = -4

Solving for variable 'x'.

Reorder the terms:
16 + 4 + -8x + x2 = -4 + 4

Combine like terms: 16 + 4 = 20
20 + -8x + x2 = -4 + 4

Combine like terms: -4 + 4 = 0
20 + -8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + -8x + -20 + x2 = 0 + -20

Reorder the terms:
20 + -20 + -8x + x2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -8x + x2 = 0 + -20
-8x + x2 = 0 + -20

Combine like terms: 0 + -20 = -20
-8x + x2 = -20

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -20 + 16

Reorder the terms:
16 + -8x + x2 = -20 + 16

Combine like terms: -20 + 16 = -4
16 + -8x + x2 = -4

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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