Question

Solve for x in the proportion x over the quantity 2 times x plus 5 equals negative 5 over x.

x = 5

x = 15

x = −25

x = −5

Answer 1

x/(2x+5) = -5/x

x*x = -5(2x+5)

x^2 = -10x - 25

x^2 + 10x + 25 = 0

I'll let you finish up

Answer 2

\[\frac{ x }{ 2x + 5} = \frac{ -5 }{ x }\]

Answer 3

do you know how to take it from here?

Answer 4

No :/

Answer 5

x^2 + 10x + 25 = 0

(x+5)(x+5) = 0 ... factor the left side

x+5 = 0 or x+5 = 0

x = -5 or x = -5

so the only solution is x = -5