Question

Which of the following is the solution to the equation 25(z + 2) = 125?

Answer 1

25(z + 2) = 125

apply distributive property

25z + 50 = 125

subtraction property of equality

25z = 75

division property of equality

z = 3

Answer is z = 3

I don't see any matching from the options.

Answer 2

$25^{z+2}=125\\\\(5^2)^{z+2}=5^3\\\\5^{2(z+2)}=5^3\\\\2(z+2)=3\qquad|:2\\\\\\z+2=\dfrac{3}{2}\\\\\\z=\dfrac{3}{2}-2\\\\\\\boxed{z=-\frac{1}{2}=-0.5}$

Answer D.