-x^2+970x-630000=0

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Solution for -x^2+970x-630000=0 equation:


Simplifying
-1x2 + 970x + -630000 = 0

Reorder the terms:
-630000 + 970x + -1x2 = 0

Solving
-630000 + 970x + -1x2 = 0

Solving for variable 'x'.

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

Divide each side by '-1'.
630000 + -970x + x2 = 0

Move the constant term to the right:

Add '-630000' to each side of the equation.
630000 + -970x + -630000 + x2 = 0 + -630000

Reorder the terms:
630000 + -630000 + -970x + x2 = 0 + -630000

Combine like terms: 630000 + -630000 = 0
0 + -970x + x2 = 0 + -630000
-970x + x2 = 0 + -630000

Combine like terms: 0 + -630000 = -630000
-970x + x2 = -630000

The x term is -970x.  Take half its coefficient (-485).
Square it (235225) and add it to both sides.

Add '235225' to each side of the equation.
-970x + 235225 + x2 = -630000 + 235225

Reorder the terms:
235225 + -970x + x2 = -630000 + 235225

Combine like terms: -630000 + 235225 = -394775
235225 + -970x + x2 = -394775

Factor a perfect square on the left side:
(x + -485)(x + -485) = -394775

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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