(X+6)(X+32)=

Solution for (X+6)(X+32)= equation:

Simplifying
(X + 6)(X + 32) = 0

Reorder the terms:
(6 + X)(X + 32) = 0

Reorder the terms:
(6 + X)(32 + X) = 0

Multiply (6 + X) * (32 + X)
(6(32 + X) + X(32 + X)) = 0
((32 * 6 + X * 6) + X(32 + X)) = 0
((192 + 6X) + X(32 + X)) = 0
(192 + 6X + (32 * X + X * X)) = 0
(192 + 6X + (32X + X2)) = 0

Combine like terms: 6X + 32X = 38X
(192 + 38X + X2) = 0

Solving
192 + 38X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(32 + X)(6 + X) = 0

Subproblem 1
Set the factor '(32 + X)' equal to zero and attempt to solve:

Simplifying
32 + X = 0

Solving
32 + X = 0

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

Add '-32' to each side of the equation.
32 + -32 + X = 0 + -32

Combine like terms: 32 + -32 = 0
0 + X = 0 + -32
X = 0 + -32

Combine like terms: 0 + -32 = -32
X = -32

Simplifying
X = -32
Subproblem 2
Set the factor '(6 + X)' equal to zero and attempt to solve:

Simplifying
6 + X = 0

Solving
6 + X = 0

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

Add '-6' to each side of the equation.
6 + -6 + X = 0 + -6

Combine like terms: 6 + -6 = 0
0 + X = 0 + -6
X = 0 + -6

Combine like terms: 0 + -6 = -6
X = -6

Simplifying
X = -6
Solution
X = {-32, -6}