2(ze+3)=4(4e+a)

Solution for 2(ze+3)=4(4e+a) equation:

Simplifying
2(ze + 3) = 4(4e + a)

Reorder the terms:
2(3 + ez) = 4(4e + a)
(3 * 2 + ez * 2) = 4(4e + a)
(6 + 2ez) = 4(4e + a)

Reorder the terms:
6 + 2ez = 4(a + 4e)
6 + 2ez = (a * 4 + 4e * 4)
6 + 2ez = (4a + 16e)

Solving
6 + 2ez = 4a + 16e

Solving for variable 'e'.

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

Add '-16e' to each side of the equation.
6 + -16e + 2ez = 4a + 16e + -16e

Combine like terms: 16e + -16e = 0
6 + -16e + 2ez = 4a + 0
6 + -16e + 2ez = 4a

Add '-6' to each side of the equation.
6 + -16e + -6 + 2ez = -6 + 4a

Reorder the terms:
6 + -6 + -16e + 2ez = -6 + 4a

Combine like terms: 6 + -6 = 0
0 + -16e + 2ez = -6 + 4a
-16e + 2ez = -6 + 4a

Reorder the terms:
6 + -4a + -16e + 2ez = -6 + 4a + 6 + -4a

Reorder the terms:
6 + -4a + -16e + 2ez = -6 + 6 + 4a + -4a

Combine like terms: -6 + 6 = 0
6 + -4a + -16e + 2ez = 0 + 4a + -4a
6 + -4a + -16e + 2ez = 4a + -4a

Combine like terms: 4a + -4a = 0
6 + -4a + -16e + 2ez = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -2a + -8e + ez) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -2a + -8e + ez)' equal to zero and attempt to solve:

Simplifying
3 + -2a + -8e + ez = 0

Solving
3 + -2a + -8e + ez = 0

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

Add '-3' to each side of the equation.
3 + -2a + -8e + -3 + ez = 0 + -3

Reorder the terms:
3 + -3 + -2a + -8e + ez = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2a + -8e + ez = 0 + -3
-2a + -8e + ez = 0 + -3

Combine like terms: 0 + -3 = -3
-2a + -8e + ez = -3

Add '2a' to each side of the equation.
-2a + -8e + 2a + ez = -3 + 2a

Reorder the terms:
-2a + 2a + -8e + ez = -3 + 2a

Combine like terms: -2a + 2a = 0
0 + -8e + ez = -3 + 2a
-8e + ez = -3 + 2a

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.