6x^2=3x+2 how to solve the equation by using the quadratic formula?

Y= -6x² +3x +2

Using the quadratic equation x=

We assign variables a,b,c as follows with the form ax²+bx +c

a= -6
b= 3
c=2

By plugging in the variable in the quadratic equation we can find x


=

If you simplify the equation you will have two real solutions for x




As a square root can be positive or negative, two solutions are possible
Hence,


Which can be further simplified to



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