e(x^2)=e(32)

Solution for e(x^2)=e(32) equation:

Simplifying
e(x2) = e(32)

Multiply e * x2
ex2 = e(32)

Reorder the terms for easier multiplication:
ex2 = 32e

Solving
ex2 = 32e

Solving for variable 'e'.

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

Add '-32e' to each side of the equation.
-32e + ex2 = 32e + -32e

Combine like terms: 32e + -32e = 0
-32e + ex2 = 0

Factor out the Greatest Common Factor (GCF), 'e'.
e(-32 + x2) = 0

Subproblem 1
Set the factor 'e' equal to zero and attempt to solve:

Simplifying
e = 0

Solving
e = 0

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

Simplifying
e = 0
Subproblem 2
Set the factor '(-32 + x2)' equal to zero and attempt to solve:

Simplifying
-32 + x2 = 0

Solving
-32 + x2 = 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 + x2 = 0 + 32

Combine like terms: -32 + 32 = 0
0 + x2 = 0 + 32
x2 = 0 + 32

Combine like terms: 0 + 32 = 32
x2 = 32

Add '-1x2' to each side of the equation.
x2 + -1x2 = 32 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = 32 + -1x2

Simplifying
0 = 32 + -1x2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
e = {0}