1440=x(x-18)

Solution for 1440=x(x-18) equation:

Simplifying
1440 = x(x + -18)

Reorder the terms:
1440 = x(-18 + x)
1440 = (-18 * x + x * x)
1440 = (-18x + x2)

Solving
1440 = -18x + x2

Solving for variable 'x'.

Reorder the terms:
1440 + 18x + -1x2 = -18x + 18x + x2 + -1x2

Combine like terms: -18x + 18x = 0
1440 + 18x + -1x2 = 0 + x2 + -1x2
1440 + 18x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1440 + 18x + -1x2 = 0

Factor a trinomial.
(48 + -1x)(30 + x) = 0

Subproblem 1
Set the factor '(48 + -1x)' equal to zero and attempt to solve:

Simplifying
48 + -1x = 0

Solving
48 + -1x = 0

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

Add '-48' to each side of the equation.
48 + -48 + -1x = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -1x = 0 + -48
-1x = 0 + -48

Combine like terms: 0 + -48 = -48
-1x = -48

Divide each side by '-1'.
x = 48

Simplifying
x = 48
Subproblem 2
Set the factor '(30 + x)' equal to zero and attempt to solve:

Simplifying
30 + x = 0

Solving
30 + x = 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 + x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + x = 0 + -30
x = 0 + -30

Combine like terms: 0 + -30 = -30
x = -30

Simplifying
x = -30
Solution
x = {48, -30}