Question

`-2/3p+1/5-1+5/6p`

Answer 1

`p=(5)/(24)`.

Explanation:

1. Write the expression.

`-(2)/(3p) +(1)/(5) -1+(5)/(6p)`

2. Equal the expression to 0.

`-(2)/(3p) +(1)/(5) -1+(5)/(6p)=0`

3. Substract
`(1)/(5)` from both sides.

`-(2)/(3p) +(1)/(5) -1+(5)/(6p)-(1)/(5) =-(1)/(5) \\ \\-(2)/(3p) } -1+(5)/(6p)=-(1)/(5)`

4. Add 1 to both sides.

`-(2)/(3p) } -1+(5)/(6p)+1=-(1)/(5)+1\\ \\-(2)/(3p) } +(5)/(6p)=-(1)/(5)+1\\ \\-(2)/(3p) } +(5)/(6p)=-(1)/(5)+(5)/(5) \\ \\-(2)/(3p) } +(5)/(6p)=(4)/(5)`

5. Simplify the left side by solvind the addition, factorize 1/p.

`(1)/(p) (-(2)/(3) } +(5)/(6))=(4)/(5) \\ \\(1)/(p) ((1)/(6))=(4)/(5)`

6. Multiply by the reciprocal of 1/6 (6).

`(1)/(p) ((1)/(6))*6=(4)/(5)*6 \\ \\(1)/(p)=(24)/(5)`

7. Inverse both sides of the equation.

`p=(5)/(24)`

8. Express your result.

`p=(5)/(24)`.