(x-4)(x-4)=-2

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Solution for (x-4)(x-4)=-2 equation:


Simplifying
(x + -4)(x + -4) = -2

Reorder the terms:
(-4 + x)(x + -4) = -2

Reorder the terms:
(-4 + x)(-4 + x) = -2

Multiply (-4 + x) * (-4 + x)
(-4(-4 + x) + x(-4 + x)) = -2
((-4 * -4 + x * -4) + x(-4 + x)) = -2
((16 + -4x) + x(-4 + x)) = -2
(16 + -4x + (-4 * x + x * x)) = -2
(16 + -4x + (-4x + x2)) = -2

Combine like terms: -4x + -4x = -8x
(16 + -8x + x2) = -2

Solving
16 + -8x + x2 = -2

Solving for variable 'x'.

Reorder the terms:
16 + 2 + -8x + x2 = -2 + 2

Combine like terms: 16 + 2 = 18
18 + -8x + x2 = -2 + 2

Combine like terms: -2 + 2 = 0
18 + -8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-18' to each side of the equation.
18 + -8x + -18 + x2 = 0 + -18

Reorder the terms:
18 + -18 + -8x + x2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -8x + x2 = 0 + -18
-8x + x2 = 0 + -18

Combine like terms: 0 + -18 = -18
-8x + x2 = -18

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 = -18 + 16

Reorder the terms:
16 + -8x + x2 = -18 + 16

Combine like terms: -18 + 16 = -2
16 + -8x + x2 = -2

Factor a perfect square on the left side:
(x + -4)(x + -4) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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