(2e-9)(e+8)=0

Solution for (2e-9)(e+8)=0 equation:

Simplifying
(2e + -9)(e + 8) = 0

Reorder the terms:
(-9 + 2e)(e + 8) = 0

Reorder the terms:
(-9 + 2e)(8 + e) = 0

Multiply (-9 + 2e) * (8 + e)
(-9(8 + e) + 2e * (8 + e)) = 0
((8 * -9 + e * -9) + 2e * (8 + e)) = 0
((-72 + -9e) + 2e * (8 + e)) = 0
(-72 + -9e + (8 * 2e + e * 2e)) = 0
(-72 + -9e + (16e + 2e2)) = 0

Combine like terms: -9e + 16e = 7e
(-72 + 7e + 2e2) = 0

Solving
-72 + 7e + 2e2 = 0

Solving for variable 'e'.

Factor a trinomial.
(-8 + -1e)(9 + -2e) = 0

Subproblem 1
Set the factor '(-8 + -1e)' equal to zero and attempt to solve:

Simplifying
-8 + -1e = 0

Solving
-8 + -1e = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1e = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1e = 0 + 8
-1e = 0 + 8

Combine like terms: 0 + 8 = 8
-1e = 8

Divide each side by '-1'.
e = -8

Simplifying
e = -8
Subproblem 2
Set the factor '(9 + -2e)' equal to zero and attempt to solve:

Simplifying
9 + -2e = 0

Solving
9 + -2e = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2e = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2e = 0 + -9
-2e = 0 + -9

Combine like terms: 0 + -9 = -9
-2e = -9

Divide each side by '-2'.
e = 4.5

Simplifying
e = 4.5
Solution
e = {-8, 4.5}