x^2-80x=-1761

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Solution for x^2-80x=-1761 equation:


Simplifying
x2 + -80x = -1761

Reorder the terms:
-80x + x2 = -1761

Solving
-80x + x2 = -1761

Solving for variable 'x'.

Reorder the terms:
1761 + -80x + x2 = -1761 + 1761

Combine like terms: -1761 + 1761 = 0
1761 + -80x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-1761' to each side of the equation.
1761 + -80x + -1761 + x2 = 0 + -1761

Reorder the terms:
1761 + -1761 + -80x + x2 = 0 + -1761

Combine like terms: 1761 + -1761 = 0
0 + -80x + x2 = 0 + -1761
-80x + x2 = 0 + -1761

Combine like terms: 0 + -1761 = -1761
-80x + x2 = -1761

The x term is -80x.  Take half its coefficient (-40).
Square it (1600) and add it to both sides.

Add '1600' to each side of the equation.
-80x + 1600 + x2 = -1761 + 1600

Reorder the terms:
1600 + -80x + x2 = -1761 + 1600

Combine like terms: -1761 + 1600 = -161
1600 + -80x + x2 = -161

Factor a perfect square on the left side:
(x + -40)(x + -40) = -161

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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