x^2+22x+140=0

Solution for x^2+22x+140=0 equation:

Simplifying
x2 + 22x + 140 = 0

Reorder the terms:
140 + 22x + x2 = 0

Solving
140 + 22x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-140' to each side of the equation.
140 + 22x + -140 + x2 = 0 + -140

Reorder the terms:
140 + -140 + 22x + x2 = 0 + -140

Combine like terms: 140 + -140 = 0
0 + 22x + x2 = 0 + -140
22x + x2 = 0 + -140

Combine like terms: 0 + -140 = -140
22x + x2 = -140

The x term is 22x.  Take half its coefficient (11).
Square it (121) and add it to both sides.

Add '121' to each side of the equation.
22x + 121 + x2 = -140 + 121

Reorder the terms:
121 + 22x + x2 = -140 + 121

Combine like terms: -140 + 121 = -19
121 + 22x + x2 = -19

Factor a perfect square on the left side:
(x + 11)(x + 11) = -19

Can't calculate square root of the right side.

The solution to this equation could not be determined.