x^2+x+156=0

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Solution for x^2+x+156=0 equation:


Simplifying
x2 + x + 156 = 0

Reorder the terms:
156 + x + x2 = 0

Solving
156 + x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-156' to each side of the equation.
156 + x + -156 + x2 = 0 + -156

Reorder the terms:
156 + -156 + x + x2 = 0 + -156

Combine like terms: 156 + -156 = 0
0 + x + x2 = 0 + -156
x + x2 = 0 + -156

Combine like terms: 0 + -156 = -156
x + x2 = -156

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 = -156 + 0.25

Reorder the terms:
0.25 + x + x2 = -156 + 0.25

Combine like terms: -156 + 0.25 = -155.75
0.25 + x + x2 = -155.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -155.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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