What is the answer to sqrt(3x+2)+2=6x ?

The answer to sqrt(3x+2)+2=6x is x= 2/3

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sqrt(3x+2)+2=6x

3 x + 2 + 2 = 6 x

x = \frac{2}{3}

Decimal Notation

x = 0.66666 \dots

Solution steps

3 x + 2 + 2 = 6 x

Remove square roots

3 x + 2 = 36 x^{2} - 24 x + 4

Solve

3 x + 2 = 36 x^{2} - 24 x + 4 : x = \frac{2}{3}, x = \frac{1}{12}

x = \frac{2}{3}, x = \frac{1}{12}

Verify Solutions:

x = \frac{2}{3}

True

, x = \frac{1}{12}

False

The solution is

x = \frac{2}{3}

26 - 3 x = 5 x - 30

x^{\frac{3}{2}} - 3 x^{\frac{1}{2}} = 0

2 m - 6 = 3 m - 14

x + 3 - 7 - x = 2 x - 8

7 x - 59 + 20 = 22