4x=tan(x)

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Solution for 4x=tan(x) equation: 


Simplifying
4x = tan(x)

Multiply ant * x
4x = antx

Solving
4x = antx

Solving for variable 'x'.

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

Add '-1antx' to each side of the equation.
-1antx + 4x = antx + -1antx

Combine like terms: antx + -1antx = 0
-1antx + 4x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1ant + 4) = 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 '(-1ant + 4)' equal to zero and attempt to solve:

Simplifying
-1ant + 4 = 0

Reorder the terms:
4 + -1ant = 0

Solving
4 + -1ant = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1ant = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1ant = 0 + -4
-1ant = 0 + -4

Combine like terms: 0 + -4 = -4
-1ant = -4

Add 'ant' to each side of the equation.
-1ant + ant = -4 + ant

Combine like terms: -1ant + ant = 0
0 = -4 + ant

Simplifying
0 = -4 + ant

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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