x^2+6x+57=0

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Solution for x^2+6x+57=0 equation:


Simplifying
x2 + 6x + 57 = 0

Reorder the terms:
57 + 6x + x2 = 0

Solving
57 + 6x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-57' to each side of the equation.
57 + 6x + -57 + x2 = 0 + -57

Reorder the terms:
57 + -57 + 6x + x2 = 0 + -57

Combine like terms: 57 + -57 = 0
0 + 6x + x2 = 0 + -57
6x + x2 = 0 + -57

Combine like terms: 0 + -57 = -57
6x + x2 = -57

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 = -57 + 9

Reorder the terms:
9 + 6x + x2 = -57 + 9

Combine like terms: -57 + 9 = -48
9 + 6x + x2 = -48

Factor a perfect square on the left side:
(x + 3)(x + 3) = -48

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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