x^2-x+74=0

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Solution for x^2-x+74=0 equation:


Simplifying
x2 + -1x + 74 = 0

Reorder the terms:
74 + -1x + x2 = 0

Solving
74 + -1x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-74' to each side of the equation.
74 + -1x + -74 + x2 = 0 + -74

Reorder the terms:
74 + -74 + -1x + x2 = 0 + -74

Combine like terms: 74 + -74 = 0
0 + -1x + x2 = 0 + -74
-1x + x2 = 0 + -74

Combine like terms: 0 + -74 = -74
-1x + x2 = -74

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 = -74 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -74 + 0.25

Combine like terms: -74 + 0.25 = -73.75
0.25 + -1x + x2 = -73.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -73.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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