how many solutions does this equation -4(v+3)=-12-4v have

Answer 1

When solving an equation, we may get several different outcomes. If we get a false statement like 2=5, then the equation has no solution. If it looks like x=5, then the equation has one solution. If it gives us a true statement like 4=4, then the equation has an infinite number of solutions.

Lets work your question out:

-4(v+3)=-12-4v

Multiply out -4(v+3):

-4v-12=-12-4v

Putting the terms with the variable on one side and those without on the other, we get:

-4v+4v=-12+12

This gives us:

0=0

Because this is a true statement, it means we have an infinite number of solutions.