Question

How do you solve `(2x+5)^2=(2x+3)^2`?

Answer 1

`x=-2`

Explanation:

`(2x+5)^2=(2x+3)^2`
or
`(2x)^2+2(2x)(5)+(5)^2=(2x)^2+2(2x)(3)+(3)^2`
or
`4x^2+20x+25=4x^2+12x+9`
or
`4x^2+20x+25-4x^2-12x-9=0`
or
`20x-12x+16=0`
or
`8x+16=0`
or
`8x=-16`
or
`x=-16/8`
or
`x=-2`