(3e-32)(e+16)=

Solution for (3e-32)(e+16)= equation:

Simplifying
(3e + -32)(e + 16) = 0

Reorder the terms:
(-32 + 3e)(e + 16) = 0

Reorder the terms:
(-32 + 3e)(16 + e) = 0

Multiply (-32 + 3e) * (16 + e)
(-32(16 + e) + 3e * (16 + e)) = 0
((16 * -32 + e * -32) + 3e * (16 + e)) = 0
((-512 + -32e) + 3e * (16 + e)) = 0
(-512 + -32e + (16 * 3e + e * 3e)) = 0
(-512 + -32e + (48e + 3e2)) = 0

Combine like terms: -32e + 48e = 16e
(-512 + 16e + 3e2) = 0

Solving
-512 + 16e + 3e2 = 0

Solving for variable 'e'.

Factor a trinomial.
(-16 + -1e)(32 + -3e) = 0

Subproblem 1
Set the factor '(-16 + -1e)' equal to zero and attempt to solve:

Simplifying
-16 + -1e = 0

Solving
-16 + -1e = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1e = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1e = 0 + 16
-1e = 0 + 16

Combine like terms: 0 + 16 = 16
-1e = 16

Divide each side by '-1'.
e = -16

Simplifying
e = -16
Subproblem 2
Set the factor '(32 + -3e)' equal to zero and attempt to solve:

Simplifying
32 + -3e = 0

Solving
32 + -3e = 0

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

Add '-32' to each side of the equation.
32 + -32 + -3e = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -3e = 0 + -32
-3e = 0 + -32

Combine like terms: 0 + -32 = -32
-3e = -32

Divide each side by '-3'.
e = 10.66666667

Simplifying
e = 10.66666667
Solution
e = {-16, 10.66666667}