4x=tanx

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Solution for 4x=tanx equation:


Simplifying
4x = tanx
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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