What is the answer to (3x+sqrt(9x^2-80x))/(10)=3 ?

The answer to (3x+sqrt(9x^2-80x))/(10)=3 is x=9

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(3x+sqrt(9x^2-80x))/(10)=3

\frac{3 x + 9 x ^{2} - 80 x}{10} = 3

x = 9

Solution steps

\frac{3 x + 9 x ^{2} - 80 x}{10} = 3

Multiply both sides by

10

\frac{3 x + 9 x ^{2} - 80 x}{10} \cdot 10 = 3 \cdot 10

Simplify

3 x + 9 x^{2} - 80 x = 30

Remove square roots

9 x^{2} - 80 x = 900 - 180 x + 9 x^{2}

Solve

9 x^{2} - 80 x = 900 - 180 x + 9 x^{2} : x = 9

x = 9

Verify Solutions:

x = 9

True

The solution is

x = 9

2 x + x + 24 = 7

3 x - 2 + 2 x + 5 + 1 = 0

x + 7 = 23 - x

13 = 6 + 7 r

17 = 6 x + 8 - 1

What is the answer to (3x+sqrt(9x^2-80x))/(10)=3 ?
The answer to (3x+sqrt(9x^2-80x))/(10)=3 is x=9
Solve for x: (3x+sqrt(9x^2-80x))/(10)=3
The solution is x=9