(3x-3)/4x-4

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Solution for (3x-3)/4x-4 equation:


x in (-oo:+oo)

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

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

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

x*(3*x-3)-4*4 = 0

3*x^2-3*x-16 = 0

3*x^2-3*x-16 = 0

3*x^2-3*x-16 = 0

DELTA = (-3)^2-(-16*3*4)

DELTA = 201

DELTA > 0

x = (201^(1/2)+3)/(2*3) or x = (3-201^(1/2))/(2*3)

x = (201^(1/2)+3)/6 or x = (3-201^(1/2))/6

(x-((3-201^(1/2))/6))*(x-((201^(1/2)+3)/6)) = 0

((x-((3-201^(1/2))/6))*(x-((201^(1/2)+3)/6)))/4 = 0

((x-((3-201^(1/2))/6))*(x-((201^(1/2)+3)/6)))/4 = 0 // * 4

(x-((3-201^(1/2))/6))*(x-((201^(1/2)+3)/6)) = 0

( x-((201^(1/2)+3)/6) )

x-((201^(1/2)+3)/6) = 0 // + (201^(1/2)+3)/6

x = (201^(1/2)+3)/6

( x-((3-201^(1/2))/6) )

x-((3-201^(1/2))/6) = 0 // + (3-201^(1/2))/6

x = (3-201^(1/2))/6

x in { (201^(1/2)+3)/6, (3-201^(1/2))/6 }

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