y(x)=5cos(2x)

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Solution for y(x)=5cos(2x) equation: 


Simplifying
y(x) = 5cos(2x)

Multiply y * x
xy = 5cos(2x)

Remove parenthesis around (2x)
xy = 5cos * 2x

Reorder the terms for easier multiplication:
xy = 5 * 2cos * x

Multiply 5 * 2
xy = 10cos * x

Multiply cos * x
xy = 10cosx

Solving
xy = 10cosx

Solving for variable 'x'.

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

Add '-10cosx' to each side of the equation.
-10cosx + xy = 10cosx + -10cosx

Combine like terms: 10cosx + -10cosx = 0
-10cosx + xy = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-10cos + y) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-10cos + y)' equal to zero and attempt to solve:

Simplifying
-10cos + y = 0

Solving
-10cos + y = 0

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

Add '10cos' to each side of the equation.
-10cos + 10cos + y = 0 + 10cos

Combine like terms: -10cos + 10cos = 0
0 + y = 0 + 10cos
y = 0 + 10cos
Remove the zero:
y = 10cos

Add '-1y' to each side of the equation.
y + -1y = 10cos + -1y

Combine like terms: y + -1y = 0
0 = 10cos + -1y

Simplifying
0 = 10cos + -1y

The solution to this equation could not be determined.

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

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