x^2-130x+5500=0

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Solution for x^2-130x+5500=0 equation:


Simplifying
x2 + -130x + 5500 = 0

Reorder the terms:
5500 + -130x + x2 = 0

Solving
5500 + -130x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-5500' to each side of the equation.
5500 + -130x + -5500 + x2 = 0 + -5500

Reorder the terms:
5500 + -5500 + -130x + x2 = 0 + -5500

Combine like terms: 5500 + -5500 = 0
0 + -130x + x2 = 0 + -5500
-130x + x2 = 0 + -5500

Combine like terms: 0 + -5500 = -5500
-130x + x2 = -5500

The x term is -130x.  Take half its coefficient (-65).
Square it (4225) and add it to both sides.

Add '4225' to each side of the equation.
-130x + 4225 + x2 = -5500 + 4225

Reorder the terms:
4225 + -130x + x2 = -5500 + 4225

Combine like terms: -5500 + 4225 = -1275
4225 + -130x + x2 = -1275

Factor a perfect square on the left side:
(x + -65)(x + -65) = -1275

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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