720=X(X-6)

Solution for 720=X(X-6) equation:

Simplifying
720 = X(X + -6)

Reorder the terms:
720 = X(-6 + X)
720 = (-6 * X + X * X)
720 = (-6X + X2)

Solving
720 = -6X + X2

Solving for variable 'X'.

Reorder the terms:
720 + 6X + -1X2 = -6X + 6X + X2 + -1X2

Combine like terms: -6X + 6X = 0
720 + 6X + -1X2 = 0 + X2 + -1X2
720 + 6X + -1X2 = X2 + -1X2

Combine like terms: X2 + -1X2 = 0
720 + 6X + -1X2 = 0

Factor a trinomial.
(30 + -1X)(24 + X) = 0

Subproblem 1
Set the factor '(30 + -1X)' equal to zero and attempt to solve:

Simplifying
30 + -1X = 0

Solving
30 + -1X = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1X = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1X = 0 + -30
-1X = 0 + -30

Combine like terms: 0 + -30 = -30
-1X = -30

Divide each side by '-1'.
X = 30

Simplifying
X = 30
Subproblem 2
Set the factor '(24 + X)' equal to zero and attempt to solve:

Simplifying
24 + X = 0

Solving
24 + X = 0

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

Add '-24' to each side of the equation.
24 + -24 + X = 0 + -24

Combine like terms: 24 + -24 = 0
0 + X = 0 + -24
X = 0 + -24

Combine like terms: 0 + -24 = -24
X = -24

Simplifying
X = -24
Solution
X = {30, -24}