What is the answer to sqrt(2x)-2/3 =0 ?

The answer to sqrt(2x)-2/3 =0 is x= 2/9

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sqrt(2x)-2/3 =0

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

x = \frac{2}{9}

Decimal Notation

x = 0.22222 \dots

Solution steps

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

Multiply both sides by

3

2 x \cdot 3 - \frac{2}{3} \cdot 3 = 0 \cdot 3

Simplify

3 2 x - 2 = 0

Move

2

to the right side

3 2 x = 2

Divide both sides by

3

2 x = \frac{2}{3}

Square both sides:

2 x = \frac{4}{9}

2 x = \frac{4}{9}

Solve

2 x = \frac{4}{9} : x = \frac{2}{9}

x = \frac{2}{9}

Verify Solutions:

x = \frac{2}{9}

True

The solution is

x = \frac{2}{9}

5 + 2 x = - x - 1

7 x + 1 = 10 x - 6

x^{\frac{1}{2}} - 6 x^{\frac{1}{4}} + 5 = 0

x^{2} - 2 x + 2 - x = 2 - x + 3

4 x - 32 - 16 = - 14