Question

Given the equation below , solve for x

Answer 1

C

Explanation:

given

5x = 5 - 25xz² ( collect terms in x together on the left side of the equation )

add 25xz² to both sides

5x + 25xz² = 5 ( factor 5x out of each term on the left )

5x(1 + 5z²) = 5 ( divide both sides by 5 )

x(1 + 5z²) = 1 ← divide both sides by (1 + 5z²

x =
`(1)/(1+5z^2)` → C

Answer 2

For this case, we must find the value of the variable "x", of the following equation:

`5x = 5-25xz ^ 2`

We add
`25xz ^ 2` to both sides of the equation:

`5x + 25xz ^ 2 = 5-25xz ^ 2+25xz ^ 2\\5x + 25xz ^ 2 = 5`

We take 5x common factor on the left side:

`5x (1 + 5z ^ 2) = 5`

We divide between 5 on both sides of the equation:

`\frac {5x (1 + 5z ^ 2)} {5} = \frac {5} {5}\\x (1 + 5z ^ 2) = 1`

We divide between
`(1 + 5z ^ 2)` on both sides of the equation:

`\frac {x (1 + 5z ^ 2)} {(1 + 5z ^ 2)} = \frac {1} {(1 + 5z ^ 2)}\\x = \frac {1} {(1 + 5z ^ 2)}`

ANswer:

Option C