0=20x^2+19x-1

Solution for 0=20x^2+19x-1 equation:

Simplifying
0 = 20x2 + 19x + -1

Reorder the terms:
0 = -1 + 19x + 20x2

Solving
0 = -1 + 19x + 20x2

Solving for variable 'x'.

Combine like terms: 0 + 1 = 1
1 + -19x + -20x2 = -1 + 19x + 20x2 + 1 + -19x + -20x2

Reorder the terms:
1 + -19x + -20x2 = -1 + 1 + 19x + -19x + 20x2 + -20x2

Combine like terms: -1 + 1 = 0
1 + -19x + -20x2 = 0 + 19x + -19x + 20x2 + -20x2
1 + -19x + -20x2 = 19x + -19x + 20x2 + -20x2

Combine like terms: 19x + -19x = 0
1 + -19x + -20x2 = 0 + 20x2 + -20x2
1 + -19x + -20x2 = 20x2 + -20x2

Combine like terms: 20x2 + -20x2 = 0
1 + -19x + -20x2 = 0

Factor a trinomial.
(1 + -20x)(1 + x) = 0

Subproblem 1
Set the factor '(1 + -20x)' equal to zero and attempt to solve:

Simplifying
1 + -20x = 0

Solving
1 + -20x = 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 + -20x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -20x = 0 + -1
-20x = 0 + -1

Combine like terms: 0 + -1 = -1
-20x = -1

Divide each side by '-20'.
x = 0.05

Simplifying
x = 0.05
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 = {0.05, -1}