Solve by Factoring cube root of 6x=-2

Problem

√(3,6*x)=−2

Solution

1. Cube both sides of the equation to eliminate the cube root.

(√(3,6*x))3=(−2)3

2. Simplify both sides of the equation.

6*x=−8

3. Divide both sides by 6 to isolate the variable x

x=(−8)/6

4. Reduce the fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor, 2.

x=−4/3

Final Answer

√(3,6*x)=−2⇒x=−4/3

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