X^2+X+50=0

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Solution for X^2+X+50=0 equation:


Simplifying
X2 + X + 50 = 0

Reorder the terms:
50 + X + X2 = 0

Solving
50 + X + X2 = 0

Solving for variable 'X'.

Begin completing the square.

Move the constant term to the right:

Add '-50' to each side of the equation.
50 + X + -50 + X2 = 0 + -50

Reorder the terms:
50 + -50 + X + X2 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + X + X2 = 0 + -50
X + X2 = 0 + -50

Combine like terms: 0 + -50 = -50
X + X2 = -50

The X term is X.  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.
X + 0.25 + X2 = -50 + 0.25

Reorder the terms:
0.25 + X + X2 = -50 + 0.25

Combine like terms: -50 + 0.25 = -49.75
0.25 + X + X2 = -49.75

Factor a perfect square on the left side:
(X + 0.5)(X + 0.5) = -49.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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