What is the answer to sqrt(x+3)+5=3sqrt(4x+12) ?

The answer to sqrt(x+3)+5=3sqrt(4x+12) is x=-2

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sqrt(x+3)+5=3sqrt(4x+12)

x + 3 + 5 = 3 4 x + 12

x = - 2

Solution steps

x + 3 + 5 = 3 4 x + 12

Remove square roots

100 x + 300 = 1225 x^{2} + 5600 x + 6400

Solve

100 x + 300 = 1225 x^{2} + 5600 x + 6400 : x = - 2, x = - \frac{122}{49}

x = - 2, x = - \frac{122}{49}

Verify Solutions:

x = - 2

True

, x = - \frac{122}{49}

False

The solution is

x = - 2

X - 3 = X - 5

x + 6 + x + 1 = 5

2 - x = 15

x = 5 + x + 3

(x - 11)^{2} + 225 = 17

What is the answer to sqrt(x+3)+5=3sqrt(4x+12) ?
The answer to sqrt(x+3)+5=3sqrt(4x+12) is x=-2
Solve for x: sqrt(x+3)+5=3sqrt(4x+12)
The solution is x=-2