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

Solve each equation. Factor and use the zero product property to solve. Show all work-example-1

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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

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