0=x^2+26x+48

Solution for 0=x^2+26x+48 equation:

Simplifying
0 = x2 + 26x + 48

Reorder the terms:
0 = 48 + 26x + x2

Solving
0 = 48 + 26x + x2

Solving for variable 'x'.

Combine like terms: 0 + -48 = -48
-48 + -26x + -1x2 = 48 + 26x + x2 + -48 + -26x + -1x2

Reorder the terms:
-48 + -26x + -1x2 = 48 + -48 + 26x + -26x + x2 + -1x2

Combine like terms: 48 + -48 = 0
-48 + -26x + -1x2 = 0 + 26x + -26x + x2 + -1x2
-48 + -26x + -1x2 = 26x + -26x + x2 + -1x2

Combine like terms: 26x + -26x = 0
-48 + -26x + -1x2 = 0 + x2 + -1x2
-48 + -26x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-48 + -26x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(48 + 26x + x2) = 0

Factor a trinomial.
-1((24 + x)(2 + x)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(24 + x)' equal to zero and attempt to solve:

Simplifying
24 + x = 0

Solving
24 + x = 0

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

Add '-24' to each side of the equation.
24 + -24 + x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + x = 0 + -24
x = 0 + -24

Combine like terms: 0 + -24 = -24
x = -24

Simplifying
x = -24
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 = {-24, -2}