x^2+14x+48=15

Solution for x^2+14x+48=15 equation:

Simplifying
x2 + 14x + 48 = 15

Reorder the terms:
48 + 14x + x2 = 15

Solving
48 + 14x + x2 = 15

Solving for variable 'x'.

Reorder the terms:
48 + -15 + 14x + x2 = 15 + -15

Combine like terms: 48 + -15 = 33
33 + 14x + x2 = 15 + -15

Combine like terms: 15 + -15 = 0
33 + 14x + x2 = 0

Factor a trinomial.
(11 + x)(3 + x) = 0

Subproblem 1
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {-11, -3}