x^2+23x+143=0

Solution for x^2+23x+143=0 equation:

Simplifying
x2 + 23x + 143 = 0

Reorder the terms:
143 + 23x + x2 = 0

Solving
143 + 23x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-143' to each side of the equation.
143 + 23x + -143 + x2 = 0 + -143

Reorder the terms:
143 + -143 + 23x + x2 = 0 + -143

Combine like terms: 143 + -143 = 0
0 + 23x + x2 = 0 + -143
23x + x2 = 0 + -143

Combine like terms: 0 + -143 = -143
23x + x2 = -143

The x term is 23x.  Take half its coefficient (11.5).
Square it (132.25) and add it to both sides.

Add '132.25' to each side of the equation.
23x + 132.25 + x2 = -143 + 132.25

Reorder the terms:
132.25 + 23x + x2 = -143 + 132.25

Combine like terms: -143 + 132.25 = -10.75
132.25 + 23x + x2 = -10.75

Factor a perfect square on the left side:
(x + 11.5)(x + 11.5) = -10.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.