(4x+3)/12x=36

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Solution for (4x+3)/12x=36 equation:


x in (-oo:+oo)

x*((4*x+3)/12) = 36 // - 36

x*((4*x+3)/12)-36 = 0

(x*(4*x+3))/12-36 = 0

(x*(4*x+3))/12+(-36*12)/12 = 0

x*(4*x+3)-36*12 = 0

4*x^2+3*x-432 = 0

4*x^2+3*x-432 = 0

4*x^2+3*x-432 = 0

DELTA = 3^2-(-432*4*4)

DELTA = 6921

DELTA > 0

x = (6921^(1/2)-3)/(2*4) or x = (-6921^(1/2)-3)/(2*4)

x = (3*769^(1/2)-3)/8 or x = (-3*769^(1/2)-3)/8

(x-((-3*769^(1/2)-3)/8))*(x-((3*769^(1/2)-3)/8)) = 0

((x-((-3*769^(1/2)-3)/8))*(x-((3*769^(1/2)-3)/8)))/12 = 0

((x-((-3*769^(1/2)-3)/8))*(x-((3*769^(1/2)-3)/8)))/12 = 0 // * 12

(x-((-3*769^(1/2)-3)/8))*(x-((3*769^(1/2)-3)/8)) = 0

( x-((-3*769^(1/2)-3)/8) )

x-((-3*769^(1/2)-3)/8) = 0 // + (-3*769^(1/2)-3)/8

x = (-3*769^(1/2)-3)/8

( x-((3*769^(1/2)-3)/8) )

x-((3*769^(1/2)-3)/8) = 0 // + (3*769^(1/2)-3)/8

x = (3*769^(1/2)-3)/8

x in { (-3*769^(1/2)-3)/8, (3*769^(1/2)-3)/8 }

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