What is the answer to sqrt(15x+18)=5x ?

The answer to sqrt(15x+18)=5x is x= 6/5

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sqrt(15x+18)=5x

15 x + 18 = 5 x

x = \frac{6}{5}

Decimal Notation

x = 1.2

Solution steps

15 x + 18 = 5 x

Square both sides:

15 x + 18 = 25 x^{2}

15 x + 18 = 25 x^{2}

Solve

15 x + 18 = 25 x^{2} : x = \frac{6}{5}, x = - \frac{3}{5}

x = \frac{6}{5}, x = - \frac{3}{5}

Verify Solutions:

x = \frac{6}{5}

True

, x = - \frac{3}{5}

False

The solution is

x = \frac{6}{5}

x^{2} = 2 - x^{2}

7 x + 22 - x + 19 = 3

3 x - 2 = x + 2

(x + 4)^{\frac{1}{2}} = 1