(x+1)(x+48)=

Solution for (x+1)(x+48)= equation:

Simplifying
(x + 1)(x + 48) = 0

Reorder the terms:
(1 + x)(x + 48) = 0

Reorder the terms:
(1 + x)(48 + x) = 0

Multiply (1 + x) * (48 + x)
(1(48 + x) + x(48 + x)) = 0
((48 * 1 + x * 1) + x(48 + x)) = 0
((48 + 1x) + x(48 + x)) = 0
(48 + 1x + (48 * x + x * x)) = 0
(48 + 1x + (48x + x2)) = 0

Combine like terms: 1x + 48x = 49x
(48 + 49x + x2) = 0

Solving
48 + 49x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(48 + x)(1 + x) = 0

Subproblem 1
Set the factor '(48 + x)' equal to zero and attempt to solve:

Simplifying
48 + x = 0

Solving
48 + x = 0

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

Add '-48' to each side of the equation.
48 + -48 + x = 0 + -48

Combine like terms: 48 + -48 = 0
0 + x = 0 + -48
x = 0 + -48

Combine like terms: 0 + -48 = -48
x = -48

Simplifying
x = -48
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Solution
x = {-48, -1}