x(x+15)=450

Solution for x(x+15)=450 equation:

Simplifying
x(x + 15) = 450

Reorder the terms:
x(15 + x) = 450
(15 * x + x * x) = 450
(15x + x2) = 450

Solving
15x + x2 = 450

Solving for variable 'x'.

Reorder the terms:
-450 + 15x + x2 = 450 + -450

Combine like terms: 450 + -450 = 0
-450 + 15x + x2 = 0

Factor a trinomial.
(-30 + -1x)(15 + -1x) = 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 '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {-30, 15}