x^2+8x+31=0

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Solution for x^2+8x+31=0 equation:


Simplifying
x2 + 8x + 31 = 0

Reorder the terms:
31 + 8x + x2 = 0

Solving
31 + 8x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-31' to each side of the equation.
31 + 8x + -31 + x2 = 0 + -31

Reorder the terms:
31 + -31 + 8x + x2 = 0 + -31

Combine like terms: 31 + -31 = 0
0 + 8x + x2 = 0 + -31
8x + x2 = 0 + -31

Combine like terms: 0 + -31 = -31
8x + x2 = -31

The x term is 8x.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8x + 16 + x2 = -31 + 16

Reorder the terms:
16 + 8x + x2 = -31 + 16

Combine like terms: -31 + 16 = -15
16 + 8x + x2 = -15

Factor a perfect square on the left side:
(x + 4)(x + 4) = -15

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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