Question

Solve: negative 1 over 2 x + 3 = –x + 7

Answer 1

I hope this helps you




(-1)^2.x+3= -x+7


x+3= -x+7


2x=4


x=2

Answer 2

`(-1)/(2x+3) =-x+7`
times both sides by (2x+3)
-1=(2x+3)(-x+7)
distribute or foil or expand
-1=-2x²+11x+21
times -1 both sides
1=2x²-11x-21
minus 1 from both sides
0=2x²-11x-22
factor
use quadratic formula
for
0=ax²+bx+c
x=
`(-b+/- √(b^2-4ac) )/(2a)`

given
0=2x²-11x-22
a=2
b=-11
c=-22

x=
`(-(-11)+/- √((-11)^2-4(2)(-22)) )/(2(2))`
x=
`(11+/- √(121+176) )/(4)`
x=
`(11+/- √(297) )/(4)`
x=
`(11+/- 3√(33) )/(4)`

x=
`(11+ 3√(33) )/(4)` or
`(11- 3√(33) )/(4)`