24x(x+21)=

Solution for 24x(x+21)= equation:

Simplifying
24x(x + 21) = 0

Reorder the terms:
24x(21 + x) = 0
(21 * 24x + x * 24x) = 0
(504x + 24x2) = 0

Solving
504x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '24x'.
24x(21 + x) = 0

Ignore the factor 24.
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 '(21 + x)' equal to zero and attempt to solve:

Simplifying
21 + x = 0

Solving
21 + x = 0

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

Add '-21' to each side of the equation.
21 + -21 + x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + x = 0 + -21
x = 0 + -21

Combine like terms: 0 + -21 = -21
x = -21

Simplifying
x = -21
Solution
x = {0, -21}