Question

Solve the equation for all values of x.
(8x+9)(49x^2-100)=0

Answer 1

`x = (-9)/(8) , (-10)/(7) , (10)/(7)`

Explanation:

8x+9=0

8x=-9

`x = (-9)/(8)`

or

`49x^(2)-100 = 0`

`(7x)^(2) -10^(2) =0`,

`(7x+10)(7x-10)=0`

`7x+10=0, 7x-10=0`

`7x=-10, 7x=10`

`x=-(-10)/(7)`,
`x = (10)/(7)`