x(48+x)=0

Solution for x(48+x)=0 equation:

Simplifying
x(48 + x) = 0
(48 * x + x * x) = 0
(48x + x2) = 0

Solving
48x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
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
Solution
x = {0, -48}