What is the partial fraction decomposition in terms of x?

In the middle equation on the left side, if you let x = 3/2, then the term containing A vanishes and you can solve for B :

12*(3/2) - 25 = A (2*(3/2) - 3) + B

18 - 25 = A * (3 - 3) + B

B = -7

Step-by-step explanation:

What is Partial Decomposition?

Partial-fraction decomposition is the process of starting with the simplified answer and taking it back apart, of "decomposing" the final expression into its initial polynomial fractions. To decompose a fraction, you first factor the denominator. ... The denominator is x2 + x, which factors as x(x + 1).

y=−9/2x+10

step-by-step explanation:

let's solve for y.

0−9x−2y=−20

step 1: add 9x to both sides.

−9x−2y+9x=−20+9x

−2y=9x−20

step 2: divide both sides by -2.

−2y

−2

=

9x−20

−2

y=

−9

2

x+10