(x+24)(x-20)=0

Solution for (x+24)(x-20)=0 equation:

Simplifying
(x + 24)(x + -20) = 0

Reorder the terms:
(24 + x)(x + -20) = 0

Reorder the terms:
(24 + x)(-20 + x) = 0

Multiply (24 + x) * (-20 + x)
(24(-20 + x) + x(-20 + x)) = 0
((-20 * 24 + x * 24) + x(-20 + x)) = 0
((-480 + 24x) + x(-20 + x)) = 0
(-480 + 24x + (-20 * x + x * x)) = 0
(-480 + 24x + (-20x + x2)) = 0

Combine like terms: 24x + -20x = 4x
(-480 + 4x + x2) = 0

Solving
-480 + 4x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-24 + -1x)(20 + -1x) = 0

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

Simplifying
-24 + -1x = 0

Solving
-24 + -1x = 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 + -1x = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -1x = 0 + 24
-1x = 0 + 24

Combine like terms: 0 + 24 = 24
-1x = 24

Divide each side by '-1'.
x = -24

Simplifying
x = -24
Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {-24, 20}