X^2-X(5X+X)+20=5

Solution for X^2-X(5X+X)+20=5 equation:

Simplifying
X2 + -1X(5X + X) + 20 = 5

Combine like terms: 5X + X = 6X
X2 + -1X(6X) + 20 = 5

Remove parenthesis around (6X)
X2 + -1X * 6X + 20 = 5

Reorder the terms for easier multiplication:
X2 + -1 * 6X * X + 20 = 5

Multiply -1 * 6
X2 + -6X * X + 20 = 5

Multiply X * X
X2 + -6X2 + 20 = 5

Reorder the terms:
20 + X2 + -6X2 = 5

Combine like terms: X2 + -6X2 = -5X2
20 + -5X2 = 5

Solving
20 + -5X2 = 5

Solving for variable 'X'.

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

Add '-20' to each side of the equation.
20 + -20 + -5X2 = 5 + -20

Combine like terms: 20 + -20 = 0
0 + -5X2 = 5 + -20
-5X2 = 5 + -20

Combine like terms: 5 + -20 = -15
-5X2 = -15

Divide each side by '-5'.
X2 = 3

Simplifying
X2 = 3

Take the square root of each side:
X = {-1.732050808, 1.732050808}