(4e-5)(3e+3)=

Solution for (4e-5)(3e+3)= equation:

Simplifying
(4e + -5)(3e + 3) = 0

Reorder the terms:
(-5 + 4e)(3e + 3) = 0

Reorder the terms:
(-5 + 4e)(3 + 3e) = 0

Multiply (-5 + 4e) * (3 + 3e)
(-5(3 + 3e) + 4e * (3 + 3e)) = 0
((3 * -5 + 3e * -5) + 4e * (3 + 3e)) = 0
((-15 + -15e) + 4e * (3 + 3e)) = 0
(-15 + -15e + (3 * 4e + 3e * 4e)) = 0
(-15 + -15e + (12e + 12e2)) = 0

Combine like terms: -15e + 12e = -3e
(-15 + -3e + 12e2) = 0

Solving
-15 + -3e + 12e2 = 0

Solving for variable 'e'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-5 + -1e + 4e2) = 0

Factor a trinomial.
3((-1 + -1e)(5 + -4e)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-1 + -1e)' equal to zero and attempt to solve:

Simplifying
-1 + -1e = 0

Solving
-1 + -1e = 0

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

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

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

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

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

Simplifying
e = -1
Subproblem 2
Set the factor '(5 + -4e)' equal to zero and attempt to solve:

Simplifying
5 + -4e = 0

Solving
5 + -4e = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4e = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4e = 0 + -5
-4e = 0 + -5

Combine like terms: 0 + -5 = -5
-4e = -5

Divide each side by '-4'.
e = 1.25

Simplifying
e = 1.25
Solution
e = {-1, 1.25}