x^2+300000=100x

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Solution for x^2+300000=100x equation:


Simplifying
x2 + 300000 = 100x

Reorder the terms:
300000 + x2 = 100x

Solving
300000 + x2 = 100x

Solving for variable 'x'.

Reorder the terms:
300000 + -100x + x2 = 100x + -100x

Combine like terms: 100x + -100x = 0
300000 + -100x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-300000' to each side of the equation.
300000 + -100x + -300000 + x2 = 0 + -300000

Reorder the terms:
300000 + -300000 + -100x + x2 = 0 + -300000

Combine like terms: 300000 + -300000 = 0
0 + -100x + x2 = 0 + -300000
-100x + x2 = 0 + -300000

Combine like terms: 0 + -300000 = -300000
-100x + x2 = -300000

The x term is -100x.  Take half its coefficient (-50).
Square it (2500) and add it to both sides.

Add '2500' to each side of the equation.
-100x + 2500 + x2 = -300000 + 2500

Reorder the terms:
2500 + -100x + x2 = -300000 + 2500

Combine like terms: -300000 + 2500 = -297500
2500 + -100x + x2 = -297500

Factor a perfect square on the left side:
(x + -50)(x + -50) = -297500

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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