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# Solve a quadratic equation using the zero product property

The Zero Product Property states that for all real numbers a and b:

If ab = 0, then a = 0 or b = 0

Solve for n.

(n  5)(n  1) = 0

According to the Zero Product Property, if (n  5)(n  1) = 0, then (n  5) must be 0 or (n  1) must be 0.

Write two equations and solve for n.

 n-5=0 or n-1=0 n=5 n=1

The solution is n = 5 or n = 1.

Solve for w.

(w-4)(w+8) = 0
w = or w =