x^2+17x=-30

Solution for x^2+17x=-30 equation:

Simplifying
x2 + 17x = -30

Reorder the terms:
17x + x2 = -30

Solving
17x + x2 = -30

Solving for variable 'x'.

Reorder the terms:
30 + 17x + x2 = -30 + 30

Combine like terms: -30 + 30 = 0
30 + 17x + x2 = 0

Factor a trinomial.
(15 + x)(2 + x) = 0

Subproblem 1
Set the factor '(15 + x)' equal to zero and attempt to solve:

Simplifying
15 + x = 0

Solving
15 + x = 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 + x = 0 + -15

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

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

Simplifying
x = -15
Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {-15, -2}