Determine the value of x is a solution of the given equation or not (2x+3)(3x-2)=0,x=2/3
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Step-by-step explanation:
Given equation that (2x+3)(3x-2)=0
To find that x=2/3 is the solution of that given equation or not ?
Solution:-
(2x+3)(3x-2)=0
By equating the equation
2x(3x-2)+3(3x-2)=0
We get,
6x^2-4x+9x-6
6x^2+5x-6=0
Now put x=2/3
6(2/3)^2+5(2/3)-6=0
6(4/9)+10/3-6=0
24/9+10/3-6=0
24+30-54/9=0
54-54/9=0
0/9=0
Hence,0=0
Hence,x=2/3 is the solution of that given equation.
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