To know if p = -1 is a possible solution to 6(p – 4) = -30p, plug in -1 for p and see if the equation is true.
6(p – 4) = -30p
6(-1 – 4) = -30(-1)
6(-1 – 4) = -30(-1)
Solve the parentheses.
-1 - 4 = -5
6(-5) = -30(-1)
Multiply.
6 • -5 = -30
-30 • -1 = 30
-30 = 30
This is not true, so p = -1 is NOT a possible solution for the equation 6(p – 4) = -30p.
Hope this helps!