Question

Solve each equation. Factor and use the zero product property to solve. Show all work algebraically.

Answer 1

23.

5n^2 = 4n^2 - 4n

n^2 + 4n = 0

n(n + 4) = 0

n = 0   or   n + 4 = 0

n = 0   or   n = -4

24.

d^2 - 4d = 3d

d^2 - 7d = 0

d(d - 7) = 0

d = 0   or   d - 7 = 0

d = 0   or d = 7

25.

3 - 13h = 3 - 8h + h^2

Subtract 3 from both sides.

-13h = -8h + h^2

Add 13h to both sides.

0 = 5h + h^2

0 = h(5 + h)

h = 0   or   5 + h = 0

h = 0   or   h = -5