x^2+20x+140=0

Solution for x^2+20x+140=0 equation:

Simplifying
x2 + 20x + 140 = 0

Reorder the terms:
140 + 20x + x2 = 0

Solving
140 + 20x + 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 + 20x + -140 + x2 = 0 + -140

Reorder the terms:
140 + -140 + 20x + x2 = 0 + -140

Combine like terms: 140 + -140 = 0
0 + 20x + x2 = 0 + -140
20x + x2 = 0 + -140

Combine like terms: 0 + -140 = -140
20x + x2 = -140

The x term is 20x.  Take half its coefficient (10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
20x + 100 + x2 = -140 + 100

Reorder the terms:
100 + 20x + x2 = -140 + 100

Combine like terms: -140 + 100 = -40
100 + 20x + x2 = -40

Factor a perfect square on the left side:
(x + 10)(x + 10) = -40

Can't calculate square root of the right side.

The solution to this equation could not be determined.