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Because of the zero property of multiplication we must first set it equal to zero and factor the equation.
z^2+8z=-15
z^2+8z+15=0
(z+3)(z+5)=0 either z+3=0 or z+5=0
So, z=-3 or z=-5
The way I factored it is looked for two numbers that multiplied to give me 15 but added to make 8. 1 and 15 didn't work. 3 and 5 worked.
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