2304+x^2=x+32+x+32

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Solution for 2304+x^2=x+32+x+32 equation: 


Simplifying
2304 + x2 = x + 32 + x + 32

Reorder the terms:
2304 + x2 = 32 + 32 + x + x

Combine like terms: 32 + 32 = 64
2304 + x2 = 64 + x + x

Combine like terms: x + x = 2x
2304 + x2 = 64 + 2x

Solving
2304 + x2 = 64 + 2x

Solving for variable 'x'.

Reorder the terms:
2304 + -64 + -2x + x2 = 64 + 2x + -64 + -2x

Combine like terms: 2304 + -64 = 2240
2240 + -2x + x2 = 64 + 2x + -64 + -2x

Reorder the terms:
2240 + -2x + x2 = 64 + -64 + 2x + -2x

Combine like terms: 64 + -64 = 0
2240 + -2x + x2 = 0 + 2x + -2x
2240 + -2x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
2240 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-2240' to each side of the equation.
2240 + -2x + -2240 + x2 = 0 + -2240

Reorder the terms:
2240 + -2240 + -2x + x2 = 0 + -2240

Combine like terms: 2240 + -2240 = 0
0 + -2x + x2 = 0 + -2240
-2x + x2 = 0 + -2240

Combine like terms: 0 + -2240 = -2240
-2x + x2 = -2240

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 = -2240 + 1

Reorder the terms:
1 + -2x + x2 = -2240 + 1

Combine like terms: -2240 + 1 = -2239
1 + -2x + x2 = -2239

Factor a perfect square on the left side:
(x + -1)(x + -1) = -2239

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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