x^2+6x=-17

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Solution for x^2+6x=-17 equation:


Simplifying
x2 + 6x = -17

Reorder the terms:
6x + x2 = -17

Solving
6x + x2 = -17

Solving for variable 'x'.

Reorder the terms:
17 + 6x + x2 = -17 + 17

Combine like terms: -17 + 17 = 0
17 + 6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-17' to each side of the equation.
17 + 6x + -17 + x2 = 0 + -17

Reorder the terms:
17 + -17 + 6x + x2 = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 6x + x2 = 0 + -17
6x + x2 = 0 + -17

Combine like terms: 0 + -17 = -17
6x + x2 = -17

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = -17 + 9

Reorder the terms:
9 + 6x + x2 = -17 + 9

Combine like terms: -17 + 9 = -8
9 + 6x + x2 = -8

Factor a perfect square on the left side:
(x + 3)(x + 3) = -8

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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