(x-19)(x-19)=-81

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Solution for (x-19)(x-19)=-81 equation: 


Simplifying
(x + -19)(x + -19) = -81

Reorder the terms:
(-19 + x)(x + -19) = -81

Reorder the terms:
(-19 + x)(-19 + x) = -81

Multiply (-19 + x) * (-19 + x)
(-19(-19 + x) + x(-19 + x)) = -81
((-19 * -19 + x * -19) + x(-19 + x)) = -81
((361 + -19x) + x(-19 + x)) = -81
(361 + -19x + (-19 * x + x * x)) = -81
(361 + -19x + (-19x + x2)) = -81

Combine like terms: -19x + -19x = -38x
(361 + -38x + x2) = -81

Solving
361 + -38x + x2 = -81

Solving for variable 'x'.

Reorder the terms:
361 + 81 + -38x + x2 = -81 + 81

Combine like terms: 361 + 81 = 442
442 + -38x + x2 = -81 + 81

Combine like terms: -81 + 81 = 0
442 + -38x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-442' to each side of the equation.
442 + -38x + -442 + x2 = 0 + -442

Reorder the terms:
442 + -442 + -38x + x2 = 0 + -442

Combine like terms: 442 + -442 = 0
0 + -38x + x2 = 0 + -442
-38x + x2 = 0 + -442

Combine like terms: 0 + -442 = -442
-38x + x2 = -442

The x term is -38x.  Take half its coefficient (-19).
Square it (361) and add it to both sides.

Add '361' to each side of the equation.
-38x + 361 + x2 = -442 + 361

Reorder the terms:
361 + -38x + x2 = -442 + 361

Combine like terms: -442 + 361 = -81
361 + -38x + x2 = -81

Factor a perfect square on the left side:
(x + -19)(x + -19) = -81

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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