1/4(3x-1)1/6(x-3)=3

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Solution for 1/4(3x-1)1/6(x-3)=3 equation:


x in (-oo:+oo)

(((1/4)*(3*x-1)^1)/6)*(x-3) = 3 // - 3

(((1/4)*(3*x-1)^1)/6)*(x-3)-3 = 0

(((1/4)*(3*x-1))/6)*(x-3)-3 = 0

(1/4*(3*x-1)*(x-3))/6-3 = 0

(1/4*(3*x-1)*(x-3))/6+(-3*6)/6 = 0

1/4*(3*x-1)*(x-3)-3*6 = 0

3/4*x^2-5/2*x-69/4 = 0

3/4*x^2-5/2*x-69/4 = 0

1/2*(3/2*x^2-5*x-69/2) = 0

3/2*x^2-5*x-69/2 = 0

DELTA = (-5)^2-(-69/2*3/2*4)

DELTA = 232

DELTA > 0

x = (232^(1/2)+5)/(3/2*2) or x = (5-232^(1/2))/(3/2*2)

x = (2*58^(1/2)+5)/3 or x = (5-2*58^(1/2))/3

1/2*(x-((5-2*58^(1/2))/3))*(x-((2*58^(1/2)+5)/3)) = 0

(1/2*(x-((5-2*58^(1/2))/3))*(x-((2*58^(1/2)+5)/3)))/6 = 0

(1/2*(x-((5-2*58^(1/2))/3))*(x-((2*58^(1/2)+5)/3)))/6 = 0 // * 6

1/2*(x-((5-2*58^(1/2))/3))*(x-((2*58^(1/2)+5)/3)) = 0

( x-((2*58^(1/2)+5)/3) )

x-((2*58^(1/2)+5)/3) = 0 // + (2*58^(1/2)+5)/3

x = (2*58^(1/2)+5)/3

( x-((5-2*58^(1/2))/3) )

x-((5-2*58^(1/2))/3) = 0 // + (5-2*58^(1/2))/3

x = (5-2*58^(1/2))/3

x in { (2*58^(1/2)+5)/3, (5-2*58^(1/2))/3 }

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