(x-2)(x+1)=3x+7/3

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Solution for (x-2)(x+1)=3x+7/3 equation: 


x in (-oo:+oo)

(x-2)*(x+1) = 3*x+7/3 // - 3*x+7/3

(x-2)*(x+1)-(3*x)-(7/3) = 0

(x-2)*(x+1)-3*x-7/3 = 0

(3*(x-2)*(x+1))/3+(-3*3*x)/3-7/3 = 0

3*(x-2)*(x+1)-3*3*x-7 = 0

3*x^2-12*x-7-6 = 0

3*x^2-12*x-13 = 0

3*x^2-12*x-13 = 0

3*x^2-12*x-13 = 0

DELTA = (-12)^2-(-13*3*4)

DELTA = 300

DELTA > 0

x = (300^(1/2)+12)/(2*3) or x = (12-300^(1/2))/(2*3)

x = (10*3^(1/2)+12)/6 or x = (12-10*3^(1/2))/6

(x-((12-10*3^(1/2))/6))*(x-((10*3^(1/2)+12)/6)) = 0

((x-((12-10*3^(1/2))/6))*(x-((10*3^(1/2)+12)/6)))/3 = 0

((x-((12-10*3^(1/2))/6))*(x-((10*3^(1/2)+12)/6)))/3 = 0 // * 3

(x-((12-10*3^(1/2))/6))*(x-((10*3^(1/2)+12)/6)) = 0

( x-((10*3^(1/2)+12)/6) )

x-((10*3^(1/2)+12)/6) = 0 // + (10*3^(1/2)+12)/6

x = (10*3^(1/2)+12)/6

( x-((12-10*3^(1/2))/6) )

x-((12-10*3^(1/2))/6) = 0 // + (12-10*3^(1/2))/6

x = (12-10*3^(1/2))/6

x in { (10*3^(1/2)+12)/6, (12-10*3^(1/2))/6 }

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