What is the answer to 6(x+3)-7sqrt(x+3)-3=0 ?

The answer to 6(x+3)-7sqrt(x+3)-3=0 is x=-3/4

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6(x+3)-7sqrt(x+3)-3=0

6 (x + 3) - 7 x + 3 - 3 = 0

x = - \frac{3}{4}

Decimal Notation

x = - 0.75

Solution steps

6 (x + 3) - 7 x + 3 - 3 = 0

Expand

6 (x + 3) - 7 x + 3 - 3 : 6 x + 15 - 7 x + 3

6 x + 15 - 7 x + 3 = 0

Remove square roots

49 x + 147 = 36 x^{2} + 180 x + 225

Solve

49 x + 147 = 36 x^{2} + 180 x + 225 : x = - \frac{3}{4}, x = - \frac{26}{9}

x = - \frac{3}{4}, x = - \frac{26}{9}

Verify Solutions:

x = - \frac{3}{4}

True

, x = - \frac{26}{9}

False

The solution is

x = - \frac{3}{4}

2 x + 9 - 2 x - 7 = 2

600 = x^{\frac{2}{3}}

v = 6 v - 8

x - 1 - x = - 5

What is the answer to 6(x+3)-7sqrt(x+3)-3=0 ?
The answer to 6(x+3)-7sqrt(x+3)-3=0 is x=-3/4
Solve for x: 6(x+3)-7sqrt(x+3)-3=0
The solution is x=-3/4