x^2-36+324+x^2-2x-1=x^2

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Solution for x^2-36+324+x^2-2x-1=x^2 equation:


Simplifying
x2 + -36 + 324 + x2 + -2x + -1 = x2

Reorder the terms:
-36 + 324 + -1 + -2x + x2 + x2 = x2

Combine like terms: -36 + 324 = 288
288 + -1 + -2x + x2 + x2 = x2

Combine like terms: 288 + -1 = 287
287 + -2x + x2 + x2 = x2

Combine like terms: x2 + x2 = 2x2
287 + -2x + 2x2 = x2

Solving
287 + -2x + 2x2 = x2

Solving for variable 'x'.

Combine like terms: 2x2 + -1x2 = 1x2
287 + -2x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
287 + -2x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-287' to each side of the equation.
287 + -2x + -287 + x2 = 0 + -287

Reorder the terms:
287 + -287 + -2x + x2 = 0 + -287

Combine like terms: 287 + -287 = 0
0 + -2x + x2 = 0 + -287
-2x + x2 = 0 + -287

Combine like terms: 0 + -287 = -287
-2x + x2 = -287

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -287 + 1

Reorder the terms:
1 + -2x + x2 = -287 + 1

Combine like terms: -287 + 1 = -286
1 + -2x + x2 = -286

Factor a perfect square on the left side:
(x + -1)(x + -1) = -286

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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