x^2+30x+450=11250

Solution for x^2+30x+450=11250 equation:

Simplifying
x2 + 30x + 450 = 11250

Reorder the terms:
450 + 30x + x2 = 11250

Solving
450 + 30x + x2 = 11250

Solving for variable 'x'.

Reorder the terms:
450 + -11250 + 30x + x2 = 11250 + -11250

Combine like terms: 450 + -11250 = -10800
-10800 + 30x + x2 = 11250 + -11250

Combine like terms: 11250 + -11250 = 0
-10800 + 30x + x2 = 0

Factor a trinomial.
(-120 + -1x)(90 + -1x) = 0

Subproblem 1
Set the factor '(-120 + -1x)' equal to zero and attempt to solve:

Simplifying
-120 + -1x = 0

Solving
-120 + -1x = 0

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

Add '120' to each side of the equation.
-120 + 120 + -1x = 0 + 120

Combine like terms: -120 + 120 = 0
0 + -1x = 0 + 120
-1x = 0 + 120

Combine like terms: 0 + 120 = 120
-1x = 120

Divide each side by '-1'.
x = -120

Simplifying
x = -120
Subproblem 2
Set the factor '(90 + -1x)' equal to zero and attempt to solve:

Simplifying
90 + -1x = 0

Solving
90 + -1x = 0

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

Add '-90' to each side of the equation.
90 + -90 + -1x = 0 + -90

Combine like terms: 90 + -90 = 0
0 + -1x = 0 + -90
-1x = 0 + -90

Combine like terms: 0 + -90 = -90
-1x = -90

Divide each side by '-1'.
x = 90

Simplifying
x = 90
Solution
x = {-120, 90}