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# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\sqrt{3x}-1\cdot 3\cdot \frac{1}{2}\cdot x=1$

Learn how to solve trigonometric equations problems step by step online.

$\sqrt{3x}=1+\frac{3}{2}x$

Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation (3x)^0.5-*3*1/2*x=1. Subtract -\frac{3}{2}x from both sides of the equation. Removing the variable's exponent. Cancel exponents \frac{1}{2} and 2. Divide both sides of the equation by 3.

## Answer

$x=\frac{2}{3}i,\:x=-\frac{2}{3}i$

### Problem Analysis

$\sqrt{3x}-1\cdot 3\cdot \frac{1}{2}\cdot x=1$

### Main topic:

Trigonometric Equations

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