Question

Solve the folowing problem. Then state if there is one solution, no solutions, or infinite solutions.

4(-8x+5)=-32x-26

Answer 1

The sides are not equal therefore there is no solutions.

Explanation:

First Expand 4(-8x+5):

a=4 ,b=-8x, c=5

Distribute:

=4(-8x)+4*5

Apply plus and minus rule:

=-4*8x+4*5

Simplify:

-4*8x+4*5

Multiply the numbers: 4*8=32

=-32x+4*5

Multiply the numbers:4*5=20

=-32x+20

-32x+20=-32x-26

Subtract 20 from both sides:

-32x+20-20=-32x-26-20

Simplify:

-32x=-32x-46

Add 32x to both sides:

-32x+32x=-32x-46+32x

Simplify:

0=-46

The sides are not equal:

No solution