1(x+18)+x(x-1)=19

Solution for 1(x+18)+x(x-1)=19 equation:

Simplifying
1(x + 18) + x(x + -1) = 19

Reorder the terms:
1(18 + x) + x(x + -1) = 19
(18 * 1 + x * 1) + x(x + -1) = 19
(18 + 1x) + x(x + -1) = 19

Reorder the terms:
18 + 1x + x(-1 + x) = 19
18 + 1x + (-1 * x + x * x) = 19
18 + 1x + (-1x + x2) = 19

Combine like terms: 1x + -1x = 0
18 + 0 + x2 = 19
18 + x2 = 19

Solving
18 + x2 = 19

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + x2 = 19 + -18

Combine like terms: 18 + -18 = 0
0 + x2 = 19 + -18
x2 = 19 + -18

Combine like terms: 19 + -18 = 1
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}