What is the answer to 4sqrt(1+3x)+sqrt(6x+3)=sqrt(-6x-1) ?

The answer to 4sqrt(1+3x)+sqrt(6x+3)=sqrt(-6x-1) is x=-1/3

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4sqrt(1+3x)+sqrt(6x+3)=sqrt(-6x-1)

4 1 + 3 x + 6 x + 3 = - 6 x - 1

x = - \frac{1}{3}

Decimal

x = - 0.33333 \dots

Solution steps

4 1 + 3 x + 6 x + 3 = - 6 x - 1

Remove square roots

1152 x^{2} + 960 x + 192 = 3600 x^{2} + 2400 x + 400

Solve

1152 x^{2} + 960 x + 192 = 3600 x^{2} + 2400 x + 400 : x = - \frac{1}{3}, x = - \frac{13}{51}

x = - \frac{1}{3}, x = - \frac{13}{51}

Verify Solutions:

x = - \frac{1}{3}

True

, x = - \frac{13}{51}

False

The solution is

x = - \frac{1}{3}

2 x - 1 = 3

4 x + 7 = 2 + 2 x

a = 21 - 2 a + 11

x - 2 x - 3 = 1

5 x + 11 - 1 = x

What is the answer to 4sqrt(1+3x)+sqrt(6x+3)=sqrt(-6x-1) ?
The answer to 4sqrt(1+3x)+sqrt(6x+3)=sqrt(-6x-1) is x=-1/3
Solve for x: 4sqrt(1+3x)+sqrt(6x+3)=sqrt(-6x-1)
The solution is x=-1/3