What is the answer to 5-3sqrt(6x+1)=-2x ?

The answer to 5-3sqrt(6x+1)=-2x is x=8,x= 1/2

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5-3sqrt(6x+1)=-2x

5 - 3 6 x + 1 = - 2 x

x = 8, x = \frac{1}{2}

Decimal Notation

x = 8, x = 0.5

Solution steps

5 - 3 6 x + 1 = - 2 x

Remove square roots

54 x + 9 = 4 x^{2} + 20 x + 25

Solve

54 x + 9 = 4 x^{2} + 20 x + 25 : x = 8, x = \frac{1}{2}

x = 8, x = \frac{1}{2}

Verify Solutions:

x = 8

True

, x = \frac{1}{2}

True

The solutions are

x = 8, x = \frac{1}{2}

3 x^{2} = 3 x

6 - x = x

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

x + 5 + 1 = 3

24 - 3 x = x - 8

What is the answer to 5-3sqrt(6x+1)=-2x ?
The answer to 5-3sqrt(6x+1)=-2x is x=8,x= 1/2
Solve for x: 5-3sqrt(6x+1)=-2x
The solution is x=8,x= 1/2