2(2e-8)5e=29

Solution for 2(2e-8)5e=29 equation:

Simplifying
2(2e + -8) * 5e = 29

Reorder the terms:
2(-8 + 2e) * 5e = 29

Reorder the terms for easier multiplication:
2 * 5e(-8 + 2e) = 29

Multiply 2 * 5
10e(-8 + 2e) = 29
(-8 * 10e + 2e * 10e) = 29
(-80e + 20e2) = 29

Solving
-80e + 20e2 = 29

Solving for variable 'e'.

Reorder the terms:
-29 + -80e + 20e2 = 29 + -29

Combine like terms: 29 + -29 = 0
-29 + -80e + 20e2 = 0

Begin completing the square.  Divide all terms by
20 the coefficient of the squared term: 

Divide each side by '20'.
-1.45 + -4e + e2 = 0.0

Move the constant term to the right:

Add '1.45' to each side of the equation.
-1.45 + -4e + 1.45 + e2 = 0.0 + 1.45

Reorder the terms:
-1.45 + 1.45 + -4e + e2 = 0.0 + 1.45

Combine like terms: -1.45 + 1.45 = 0.00
0.00 + -4e + e2 = 0.0 + 1.45
-4e + e2 = 0.0 + 1.45

Combine like terms: 0.0 + 1.45 = 1.45
-4e + e2 = 1.45

The e term is -4e.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4e + 4 + e2 = 1.45 + 4

Reorder the terms:
4 + -4e + e2 = 1.45 + 4

Combine like terms: 1.45 + 4 = 5.45
4 + -4e + e2 = 5.45

Factor a perfect square on the left side:
(e + -2)(e + -2) = 5.45

Calculate the square root of the right side: 2.334523506

Break this problem into two subproblems by setting 
(e + -2) equal to 2.334523506 and -2.334523506.

Subproblem 1
e + -2 = 2.334523506

Simplifying
e + -2 = 2.334523506

Reorder the terms:
-2 + e = 2.334523506

Solving
-2 + e = 2.334523506

Solving for variable 'e'.

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

Add '2' to each side of the equation.
-2 + 2 + e = 2.334523506 + 2

Combine like terms: -2 + 2 = 0
0 + e = 2.334523506 + 2
e = 2.334523506 + 2

Combine like terms: 2.334523506 + 2 = 4.334523506
e = 4.334523506

Simplifying
e = 4.334523506

Subproblem 2
e + -2 = -2.334523506

Simplifying
e + -2 = -2.334523506

Reorder the terms:
-2 + e = -2.334523506

Solving
-2 + e = -2.334523506

Solving for variable 'e'.

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

Add '2' to each side of the equation.
-2 + 2 + e = -2.334523506 + 2

Combine like terms: -2 + 2 = 0
0 + e = -2.334523506 + 2
e = -2.334523506 + 2

Combine like terms: -2.334523506 + 2 = -0.334523506
e = -0.334523506

Simplifying
e = -0.334523506

Solution
The solution to the problem is based on the solutions
from the subproblems.
e = {4.334523506, -0.334523506}