x*x+6x+34=0

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Solution for x*x+6x+34=0 equation:


Simplifying
x * x + 6x + 34 = 0

Multiply x * x
x2 + 6x + 34 = 0

Reorder the terms:
34 + 6x + x2 = 0

Solving
34 + 6x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-34' to each side of the equation.
34 + 6x + -34 + x2 = 0 + -34

Reorder the terms:
34 + -34 + 6x + x2 = 0 + -34

Combine like terms: 34 + -34 = 0
0 + 6x + x2 = 0 + -34
6x + x2 = 0 + -34

Combine like terms: 0 + -34 = -34
6x + x2 = -34

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 = -34 + 9

Reorder the terms:
9 + 6x + x2 = -34 + 9

Combine like terms: -34 + 9 = -25
9 + 6x + x2 = -25

Factor a perfect square on the left side:
(x + 3)(x + 3) = -25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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