0=x^2-62x+1000

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Solution for 0=x^2-62x+1000 equation:


Simplifying
0 = x2 + -62x + 1000

Reorder the terms:
0 = 1000 + -62x + x2

Solving
0 = 1000 + -62x + x2

Solving for variable 'x'.

Combine like terms: 0 + -1000 = -1000
-1000 + 62x + -1x2 = 1000 + -62x + x2 + -1000 + 62x + -1x2

Reorder the terms:
-1000 + 62x + -1x2 = 1000 + -1000 + -62x + 62x + x2 + -1x2

Combine like terms: 1000 + -1000 = 0
-1000 + 62x + -1x2 = 0 + -62x + 62x + x2 + -1x2
-1000 + 62x + -1x2 = -62x + 62x + x2 + -1x2

Combine like terms: -62x + 62x = 0
-1000 + 62x + -1x2 = 0 + x2 + -1x2
-1000 + 62x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1000 + 62x + -1x2 = 0

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

Divide each side by '-1'.
1000 + -62x + x2 = 0

Move the constant term to the right:

Add '-1000' to each side of the equation.
1000 + -62x + -1000 + x2 = 0 + -1000

Reorder the terms:
1000 + -1000 + -62x + x2 = 0 + -1000

Combine like terms: 1000 + -1000 = 0
0 + -62x + x2 = 0 + -1000
-62x + x2 = 0 + -1000

Combine like terms: 0 + -1000 = -1000
-62x + x2 = -1000

The x term is -62x.  Take half its coefficient (-31).
Square it (961) and add it to both sides.

Add '961' to each side of the equation.
-62x + 961 + x2 = -1000 + 961

Reorder the terms:
961 + -62x + x2 = -1000 + 961

Combine like terms: -1000 + 961 = -39
961 + -62x + x2 = -39

Factor a perfect square on the left side:
(x + -31)(x + -31) = -39

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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