Question

Solve for x :(a+b)~x~+8 (a~-b~)x+16(a-b)~=0

Answer 1

Let's solve for x.

(a+b)(x)+8(a−b)x+16(a−b)=0

Step 1: Add -16a to both sides.

9ax−7bx+16a−16b+−16a=0+−16a

9ax−7bx−16b=−16a

Step 2: Add 16b to both sides.

9ax−7bx−16b+16b=−16a+16b

9ax−7bx=−16a+16b

Step 3: Factor out variable x.

x(9a−7b)=−16a+16b

Step 4: Divide both sides by 9a-7b.

x(9a−7b)

9a−7b

=

−16a+16b

9a−7b

x=

−16a+16b

9a−7b