0=x^2-96x+4504

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Solution for 0=x^2-96x+4504 equation:


Simplifying
0 = x2 + -96x + 4504

Reorder the terms:
0 = 4504 + -96x + x2

Solving
0 = 4504 + -96x + x2

Solving for variable 'x'.

Combine like terms: 0 + -4504 = -4504
-4504 + 96x + -1x2 = 4504 + -96x + x2 + -4504 + 96x + -1x2

Reorder the terms:
-4504 + 96x + -1x2 = 4504 + -4504 + -96x + 96x + x2 + -1x2

Combine like terms: 4504 + -4504 = 0
-4504 + 96x + -1x2 = 0 + -96x + 96x + x2 + -1x2
-4504 + 96x + -1x2 = -96x + 96x + x2 + -1x2

Combine like terms: -96x + 96x = 0
-4504 + 96x + -1x2 = 0 + x2 + -1x2
-4504 + 96x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-4504 + 96x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
4504 + -96x + x2 = 0

Move the constant term to the right:

Add '-4504' to each side of the equation.
4504 + -96x + -4504 + x2 = 0 + -4504

Reorder the terms:
4504 + -4504 + -96x + x2 = 0 + -4504

Combine like terms: 4504 + -4504 = 0
0 + -96x + x2 = 0 + -4504
-96x + x2 = 0 + -4504

Combine like terms: 0 + -4504 = -4504
-96x + x2 = -4504

The x term is -96x.  Take half its coefficient (-48).
Square it (2304) and add it to both sides.

Add '2304' to each side of the equation.
-96x + 2304 + x2 = -4504 + 2304

Reorder the terms:
2304 + -96x + x2 = -4504 + 2304

Combine like terms: -4504 + 2304 = -2200
2304 + -96x + x2 = -2200

Factor a perfect square on the left side:
(x + -48)(x + -48) = -2200

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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