0=x^2-2x-143

Solution for 0=x^2-2x-143 equation:

Simplifying
0 = x2 + -2x + -143

Reorder the terms:
0 = -143 + -2x + x2

Solving
0 = -143 + -2x + x2

Solving for variable 'x'.

Combine like terms: 0 + 143 = 143
143 + 2x + -1x2 = -143 + -2x + x2 + 143 + 2x + -1x2

Reorder the terms:
143 + 2x + -1x2 = -143 + 143 + -2x + 2x + x2 + -1x2

Combine like terms: -143 + 143 = 0
143 + 2x + -1x2 = 0 + -2x + 2x + x2 + -1x2
143 + 2x + -1x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
143 + 2x + -1x2 = 0 + x2 + -1x2
143 + 2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
143 + 2x + -1x2 = 0

Factor a trinomial.
(13 + -1x)(11 + x) = 0

Subproblem 1
Set the factor '(13 + -1x)' equal to zero and attempt to solve:

Simplifying
13 + -1x = 0

Solving
13 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-13' to each side of the equation.
13 + -13 + -1x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 0 + -13
-1x = 0 + -13

Combine like terms: 0 + -13 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13
Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11
Solution
x = {13, -11}