What is the answer to 2sqrt(3x+1)-7=-3x ?

The answer to 2sqrt(3x+1)-7=-3x is x=1

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2sqrt(3x+1)-7=-3x

2 3 x + 1 - 7 = - 3 x

x = 1

Solution steps

2 3 x + 1 - 7 = - 3 x

Remove square roots

12 x + 4 = 9 x^{2} - 42 x + 49

Solve

12 x + 4 = 9 x^{2} - 42 x + 49 : x = 5, x = 1

x = 5, x = 1

Verify Solutions:

x = 5

False

, x = 1

True

The solution is

x = 1

2 x + 1 + x - 3 = 2 x

x - 3 x - 1 + 1 = 0

2 x - 4 + 2 = 3 x + 4

6 x + 7 = 7 x + 7 + 6

2 - x = 2 - x^{2}

What is the answer to 2sqrt(3x+1)-7=-3x ?
The answer to 2sqrt(3x+1)-7=-3x is x=1
Solve for x: 2sqrt(3x+1)-7=-3x
The solution is x=1