x(x)+10x+34=0

Solution for x(x)+10x+34=0 equation:

Simplifying
x(x) + 10x + 34 = 0

Multiply x * x
x2 + 10x + 34 = 0

Reorder the terms:
34 + 10x + x2 = 0

Solving
34 + 10x + 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 + 10x + -34 + x2 = 0 + -34

Reorder the terms:
34 + -34 + 10x + x2 = 0 + -34

Combine like terms: 34 + -34 = 0
0 + 10x + x2 = 0 + -34
10x + x2 = 0 + -34

Combine like terms: 0 + -34 = -34
10x + x2 = -34

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = -34 + 25

Reorder the terms:
25 + 10x + x2 = -34 + 25

Combine like terms: -34 + 25 = -9
25 + 10x + x2 = -9

Factor a perfect square on the left side:
(x + 5)(x + 5) = -9

Can't calculate square root of the right side.

The solution to this equation could not be determined.