x(x+3)=-34

Solution for x(x+3)=-34 equation:

Simplifying
x(x + 3) = -34

Reorder the terms:
x(3 + x) = -34
(3 * x + x * x) = -34
(3x + x2) = -34

Solving
3x + x2 = -34

Solving for variable 'x'.

Reorder the terms:
34 + 3x + x2 = -34 + 34

Combine like terms: -34 + 34 = 0
34 + 3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-34' to each side of the equation.
34 + 3x + -34 + x2 = 0 + -34

Reorder the terms:
34 + -34 + 3x + x2 = 0 + -34

Combine like terms: 34 + -34 = 0
0 + 3x + x2 = 0 + -34
3x + x2 = 0 + -34

Combine like terms: 0 + -34 = -34
3x + x2 = -34

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = -34 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -34 + 2.25

Combine like terms: -34 + 2.25 = -31.75
2.25 + 3x + x2 = -31.75

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = -31.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.