Question

9/16x^2+7.5x=−25?

Answer 1

By moving the -25 to the left-hand side of the equation, one can factor the formula to get x, which is `-6 2/3`

Explanation:

`9/16x^2+7.5x+25=0`

Based on the fact that 9/16 and 25 have clean square roots (3/4 and 5, respectively) it occurred to me that the equation factored as such:

`0 =(3/4x+5)^2 = (3/4x)^2+2*5*(3/4x)+5^2`
`0 = 9/16x^2+30/4x+25`
`0 = 9/16x^2+7.5x+25`

Using the factored version, `0 = (3/4x+5)^2`, we can now solve for x

`sqrt(0) = sqrt((3/4x+5)^2)`

`0 = 3/4x+5`

`-5 = 3/4x`

`-20/3 = x = -6 2/3`

Answer 2

-20`-:`3

Explanation:

Simply solved the equation by the formula