x^2+(3+x)=-5

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Solution for x^2+(3+x)=-5 equation:


Simplifying
x2 + (3 + x) = -5

Remove parenthesis around (3 + x)
x2 + 3 + x = -5

Reorder the terms:
3 + x + x2 = -5

Solving
3 + x + x2 = -5

Solving for variable 'x'.

Reorder the terms:
3 + 5 + x + x2 = -5 + 5

Combine like terms: 3 + 5 = 8
8 + x + x2 = -5 + 5

Combine like terms: -5 + 5 = 0
8 + x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x + x2 = 0 + -8
x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
x + x2 = -8

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 = -8 + 0.25

Reorder the terms:
0.25 + x + x2 = -8 + 0.25

Combine like terms: -8 + 0.25 = -7.75
0.25 + x + x2 = -7.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -7.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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