Question

16(6−5x)^2+17=42 Please solve for all the possible solutions to x.

Answer 1

Answer:
`x=19/20`
`or`
`x=29/20`

Simplify both sides of the equation

`400x^2-960x+593=42`

Subtract 42 from both sides

`400x^2-960x+593-42=42-42\\400x^2-960x+551=0`

Factor left side of equation

`(20x-19)(20x-29)=0`

Set factors equal to 0

`20x-19=0`
`or`
`20x-29=0`

`x=19/20`
`or`
`x=29/20`