x^2+14x+48=-1

Solution for x^2+14x+48=-1 equation:

Simplifying
x2 + 14x + 48 = -1

Reorder the terms:
48 + 14x + x2 = -1

Solving
48 + 14x + x2 = -1

Solving for variable 'x'.

Reorder the terms:
48 + 1 + 14x + x2 = -1 + 1

Combine like terms: 48 + 1 = 49
49 + 14x + x2 = -1 + 1

Combine like terms: -1 + 1 = 0
49 + 14x + x2 = 0

Factor a trinomial.
(7 + x)(7 + x) = 0

Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {-7, -7}