0=x^2+16x+48

Solution for 0=x^2+16x+48 equation:

Simplifying
0 = x2 + 16x + 48

Reorder the terms:
0 = 48 + 16x + x2

Solving
0 = 48 + 16x + x2

Solving for variable 'x'.

Combine like terms: 0 + -48 = -48
-48 + -16x + -1x2 = 48 + 16x + x2 + -48 + -16x + -1x2

Reorder the terms:
-48 + -16x + -1x2 = 48 + -48 + 16x + -16x + x2 + -1x2

Combine like terms: 48 + -48 = 0
-48 + -16x + -1x2 = 0 + 16x + -16x + x2 + -1x2
-48 + -16x + -1x2 = 16x + -16x + x2 + -1x2

Combine like terms: 16x + -16x = 0
-48 + -16x + -1x2 = 0 + x2 + -1x2
-48 + -16x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-48 + -16x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(48 + 16x + x2) = 0

Factor a trinomial.
-1((12 + x)(4 + x)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(12 + x)' equal to zero and attempt to solve:

Simplifying
12 + x = 0

Solving
12 + x = 0

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

Add '-12' to each side of the equation.
12 + -12 + x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + x = 0 + -12
x = 0 + -12

Combine like terms: 0 + -12 = -12
x = -12

Simplifying
x = -12
Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {-12, -4}