X^2+18X=40

Solution for X^2+18X=40 equation:

Simplifying
X2 + 18X = 40

Reorder the terms:
18X + X2 = 40

Solving
18X + X2 = 40

Solving for variable 'X'.

Reorder the terms:
-40 + 18X + X2 = 40 + -40

Combine like terms: 40 + -40 = 0
-40 + 18X + X2 = 0

Factor a trinomial.
(-20 + -1X)(2 + -1X) = 0

Subproblem 1
Set the factor '(-20 + -1X)' equal to zero and attempt to solve:

Simplifying
-20 + -1X = 0

Solving
-20 + -1X = 0

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

Add '20' to each side of the equation.
-20 + 20 + -1X = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -1X = 0 + 20
-1X = 0 + 20

Combine like terms: 0 + 20 = 20
-1X = 20

Divide each side by '-1'.
X = -20

Simplifying
X = -20
Subproblem 2
Set the factor '(2 + -1X)' equal to zero and attempt to solve:

Simplifying
2 + -1X = 0

Solving
2 + -1X = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1X = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1X = 0 + -2
-1X = 0 + -2

Combine like terms: 0 + -2 = -2
-1X = -2

Divide each side by '-1'.
X = 2

Simplifying
X = 2
Solution
X = {-20, 2}