x^2+6x+9=-10

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Solution for x^2+6x+9=-10 equation:


Simplifying
x2 + 6x + 9 = -10

Reorder the terms:
9 + 6x + x2 = -10

Solving
9 + 6x + x2 = -10

Solving for variable 'x'.

Reorder the terms:
9 + 10 + 6x + x2 = -10 + 10

Combine like terms: 9 + 10 = 19
19 + 6x + x2 = -10 + 10

Combine like terms: -10 + 10 = 0
19 + 6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-19' to each side of the equation.
19 + 6x + -19 + x2 = 0 + -19

Reorder the terms:
19 + -19 + 6x + x2 = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 6x + x2 = 0 + -19
6x + x2 = 0 + -19

Combine like terms: 0 + -19 = -19
6x + x2 = -19

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 = -19 + 9

Reorder the terms:
9 + 6x + x2 = -19 + 9

Combine like terms: -19 + 9 = -10
9 + 6x + x2 = -10

Factor a perfect square on the left side:
(x + 3)(x + 3) = -10

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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