What is the answer to (60-2((bsqrt(5))/6))/(3)=b ?

The answer to (60-2((bsqrt(5))/6))/(3)=b is b=(45(9-sqrt(5)))/(19)

Solve for b: (60-2((bsqrt(5))/6))/(3)=b

The solution is b=(45(9-sqrt(5)))/(19)

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\frac{60 - 2 ( \frac{b 5}{6} )}{3} = b

b = \frac{45 ( 9 - 5 )}{19}

Solution steps

\frac{60 - 2 ( \frac{b 5}{6} )}{3} = b

Expand

\frac{60 - 2 ( \frac{b 5}{6} )}{3} : 20 - \frac{5 b}{9}

20 - \frac{5 b}{9} = b

Multiply both sides by

9

180 - 5 b = 9 b

Move

180

to the right side

- 5 b = 9 b - 180

Move

9 b

to the left side

- 5 b - 9 b = - 180

Factor

- 5 b - 9 b : - (5 + 9) b

- (5 + 9) b = - 180

Divide both sides by

- 5 - 9

b = \frac{45 ( 9 - 5 )}{19}

(5 x^{2} y) (\frac{2}{5} x y^{5})

3 = - x^{2}

8 x - 15 = 3 x

(- \frac{4}{x})^{3}

3 x < 12

What is the answer to (60-2((bsqrt(5))/6))/(3)=b ?
The answer to (60-2((bsqrt(5))/6))/(3)=b is b=(45(9-sqrt(5)))/(19)
Solve for b: (60-2((bsqrt(5))/6))/(3)=b
The solution is b=(45(9-sqrt(5)))/(19)