E^2=Ecosx^2

Solution for E^2=Ecosx^2 equation:

Simplifying
E2 = Ecosx2

Solving
E2 = cosx2E

Solving for variable 'E'.

Combine like terms: cosx2E + -1cosx2E = 0
E2 + -1cosx2E = 0

Factor out the Greatest Common Factor (GCF), 'E'.
E(E + -1cosx2) = 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 '(E + -1cosx2)' equal to zero and attempt to solve:

Simplifying
E + -1cosx2 = 0

Solving
E + -1cosx2 = 0

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

Add 'cosx2' to each side of the equation.
E + -1cosx2 + cosx2 = 0 + cosx2

Combine like terms: -1cosx2 + cosx2 = 0
E + 0 = 0 + cosx2
E = 0 + cosx2
Remove the zero:
E = cosx2

Simplifying
E = cosx2
Solution
E = {0, cosx2}