x^2-x+84=0

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Solution for x^2-x+84=0 equation:


Simplifying
x2 + -1x + 84 = 0

Reorder the terms:
84 + -1x + x2 = 0

Solving
84 + -1x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-84' to each side of the equation.
84 + -1x + -84 + x2 = 0 + -84

Reorder the terms:
84 + -84 + -1x + x2 = 0 + -84

Combine like terms: 84 + -84 = 0
0 + -1x + x2 = 0 + -84
-1x + x2 = 0 + -84

Combine like terms: 0 + -84 = -84
-1x + x2 = -84

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -84 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -84 + 0.25

Combine like terms: -84 + 0.25 = -83.75
0.25 + -1x + x2 = -83.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -83.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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