x(x-10)=-34

Solution for x(x-10)=-34 equation:

Simplifying
x(x + -10) = -34

Reorder the terms:
x(-10 + x) = -34
(-10 * x + x * x) = -34
(-10x + x2) = -34

Solving
-10x + x2 = -34

Solving for variable 'x'.

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

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

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.