9480=x^2+15x+30

Solution for 9480=x^2+15x+30 equation:

Simplifying
9480 = x2 + 15x + 30

Reorder the terms:
9480 = 30 + 15x + x2

Solving
9480 = 30 + 15x + x2

Solving for variable 'x'.

Combine like terms: 9480 + -30 = 9450
9450 + -15x + -1x2 = 30 + 15x + x2 + -30 + -15x + -1x2

Reorder the terms:
9450 + -15x + -1x2 = 30 + -30 + 15x + -15x + x2 + -1x2

Combine like terms: 30 + -30 = 0
9450 + -15x + -1x2 = 0 + 15x + -15x + x2 + -1x2
9450 + -15x + -1x2 = 15x + -15x + x2 + -1x2

Combine like terms: 15x + -15x = 0
9450 + -15x + -1x2 = 0 + x2 + -1x2
9450 + -15x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9450 + -15x + -1x2 = 0

Factor a trinomial.
(90 + -1x)(105 + x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(105 + x)' equal to zero and attempt to solve:

Simplifying
105 + x = 0

Solving
105 + x = 0

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

Add '-105' to each side of the equation.
105 + -105 + x = 0 + -105

Combine like terms: 105 + -105 = 0
0 + x = 0 + -105
x = 0 + -105

Combine like terms: 0 + -105 = -105
x = -105

Simplifying
x = -105
Solution
x = {90, -105}