x*x+19=-20x

Solution for x*x+19=-20x equation:

Simplifying
x * x + 19 = -20x

Multiply x * x
x2 + 19 = -20x

Reorder the terms:
19 + x2 = -20x

Solving
19 + x2 = -20x

Solving for variable 'x'.

Reorder the terms:
19 + 20x + x2 = -20x + 20x

Combine like terms: -20x + 20x = 0
19 + 20x + x2 = 0

Factor a trinomial.
(19 + x)(1 + x) = 0

Subproblem 1
Set the factor '(19 + x)' equal to zero and attempt to solve:

Simplifying
19 + x = 0

Solving
19 + x = 0

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

Add '-19' to each side of the equation.
19 + -19 + x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + x = 0 + -19
x = 0 + -19

Combine like terms: 0 + -19 = -19
x = -19

Simplifying
x = -19
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

Simplifying
x = -1
Solution
x = {-19, -1}