X^2-x-19=-x+6

Solution for X^2-x-19=-x+6 equation:

Simplifying
X2 + -1x + -19 = -1x + 6

Reorder the terms:
-19 + X2 + -1x = -1x + 6

Reorder the terms:
-19 + X2 + -1x = 6 + -1x

Add 'x' to each side of the equation.
-19 + X2 + -1x + x = 6 + -1x + x

Combine like terms: -1x + x = 0
-19 + X2 + 0 = 6 + -1x + x
-19 + X2 = 6 + -1x + x

Combine like terms: -1x + x = 0
-19 + X2 = 6 + 0
-19 + X2 = 6

Solving
-19 + X2 = 6

Solving for variable 'X'.

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

Add '19' to each side of the equation.
-19 + 19 + X2 = 6 + 19

Combine like terms: -19 + 19 = 0
0 + X2 = 6 + 19
X2 = 6 + 19

Combine like terms: 6 + 19 = 25
X2 = 25

Simplifying
X2 = 25

Take the square root of each side:
X = {-5, 5}