63=x^2+18x

Solution for 63=x^2+18x equation:

Simplifying
63 = x2 + 18x

Reorder the terms:
63 = 18x + x2

Solving
63 = 18x + x2

Solving for variable 'x'.

Reorder the terms:
63 + -18x + -1x2 = 18x + -18x + x2 + -1x2

Combine like terms: 18x + -18x = 0
63 + -18x + -1x2 = 0 + x2 + -1x2
63 + -18x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
63 + -18x + -1x2 = 0

Factor a trinomial.
(3 + -1x)(21 + x) = 0

Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(21 + x)' equal to zero and attempt to solve:

Simplifying
21 + x = 0

Solving
21 + x = 0

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

Add '-21' to each side of the equation.
21 + -21 + x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + x = 0 + -21
x = 0 + -21

Combine like terms: 0 + -21 = -21
x = -21

Simplifying
x = -21
Solution
x = {3, -21}