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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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