x(x+3)=418

Solution for x(x+3)=418 equation:

Simplifying
x(x + 3) = 418

Reorder the terms:
x(3 + x) = 418
(3 * x + x * x) = 418
(3x + x2) = 418

Solving
3x + x2 = 418

Solving for variable 'x'.

Reorder the terms:
-418 + 3x + x2 = 418 + -418

Combine like terms: 418 + -418 = 0
-418 + 3x + x2 = 0

Factor a trinomial.
(-22 + -1x)(19 + -1x) = 0

Subproblem 1
Set the factor '(-22 + -1x)' equal to zero and attempt to solve:

Simplifying
-22 + -1x = 0

Solving
-22 + -1x = 0

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

Add '22' to each side of the equation.
-22 + 22 + -1x = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -1x = 0 + 22
-1x = 0 + 22

Combine like terms: 0 + 22 = 22
-1x = 22

Divide each side by '-1'.
x = -22

Simplifying
x = -22
Subproblem 2
Set the factor '(19 + -1x)' equal to zero and attempt to solve:

Simplifying
19 + -1x = 0

Solving
19 + -1x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -1x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -1x = 0 + -19
-1x = 0 + -19

Combine like terms: 0 + -19 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19
Solution
x = {-22, 19}