quadratics by factoring 2z(5z-2)=-5z+2

Celia Horne

Celia Horne

Answered question

2022-02-01

quadratics by factoring
2z(5z-2)=-5z+2

Answer & Explanation

enguinhispi

enguinhispi

Beginner2022-02-02Added 15 answers

Step 1
consider the given quadratic equation,
2z(5z-2)=-5z+2
simplify the quadratic equation as follows,
10z24z=5z+2
10z24z5z2=0
10z2+zz=0
Step 2
now factorize the quadratic equation and solve as follows,
10z2+5z4z2=0
5z(2z=1)1(2z+1)=0
(5z1)(2z+1)=0
use the principle of zero products which states that if the product of two numbers is zero then at least one of the factors is 0.
(5z1)=0or(2z+1)=0
z=15orz=12
so, the value of z is 15,12

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