x^2+6x+9=-60+9

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Solution for x^2+6x+9=-60+9 equation:


Simplifying
x2 + 6x + 9 = -60 + 9

Reorder the terms:
9 + 6x + x2 = -60 + 9

Combine like terms: -60 + 9 = -51
9 + 6x + x2 = -51

Solving
9 + 6x + x2 = -51

Solving for variable 'x'.

Reorder the terms:
9 + 51 + 6x + x2 = -51 + 51

Combine like terms: 9 + 51 = 60
60 + 6x + x2 = -51 + 51

Combine like terms: -51 + 51 = 0
60 + 6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-60' to each side of the equation.
60 + 6x + -60 + x2 = 0 + -60

Reorder the terms:
60 + -60 + 6x + x2 = 0 + -60

Combine like terms: 60 + -60 = 0
0 + 6x + x2 = 0 + -60
6x + x2 = 0 + -60

Combine like terms: 0 + -60 = -60
6x + x2 = -60

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 = -60 + 9

Reorder the terms:
9 + 6x + x2 = -60 + 9

Combine like terms: -60 + 9 = -51
9 + 6x + x2 = -51

Factor a perfect square on the left side:
(x + 3)(x + 3) = -51

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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