x^2+18x+42=10

Solution for x^2+18x+42=10 equation:

Simplifying
x2 + 18x + 42 = 10

Reorder the terms:
42 + 18x + x2 = 10

Solving
42 + 18x + x2 = 10

Solving for variable 'x'.

Reorder the terms:
42 + -10 + 18x + x2 = 10 + -10

Combine like terms: 42 + -10 = 32
32 + 18x + x2 = 10 + -10

Combine like terms: 10 + -10 = 0
32 + 18x + x2 = 0

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

Subproblem 1
Set the factor '(16 + x)' equal to zero and attempt to solve:

Simplifying
16 + x = 0

Solving
16 + x = 0

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

Add '-16' to each side of the equation.
16 + -16 + x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + x = 0 + -16
x = 0 + -16

Combine like terms: 0 + -16 = -16
x = -16

Simplifying
x = -16
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 = {-16, -2}