(3x-2)/3-(3x-5)2=(1-x)/5

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Solution for (3x-2)/3-(3x-5)2=(1-x)/5 equation:


x in (-oo:+oo)

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

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

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

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

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

465*x-135*x^2+3*x-385-3 = 0

468*x-135*x^2-388 = 0

468*x-135*x^2-388 = 0

468*x-135*x^2-388 = 0

DELTA = 468^2-(-388*(-135)*4)

DELTA = 9504

DELTA > 0

x = (9504^(1/2)-468)/(-135*2) or x = (-9504^(1/2)-468)/(-135*2)

x = (12*66^(1/2)-468)/(-270) or x = (-12*66^(1/2)-468)/(-270)

(x-((12*66^(1/2)-468)/(-270)))*(x-((-12*66^(1/2)-468)/(-270))) = 0

((x-((12*66^(1/2)-468)/(-270)))*(x-((-12*66^(1/2)-468)/(-270))))/(3*5) = 0

((x-((12*66^(1/2)-468)/(-270)))*(x-((-12*66^(1/2)-468)/(-270))))/(3*5) = 0 // * 3*5

(x-((12*66^(1/2)-468)/(-270)))*(x-((-12*66^(1/2)-468)/(-270))) = 0

( x-((-12*66^(1/2)-468)/(-270)) )

x-((-12*66^(1/2)-468)/(-270)) = 0 // + (-12*66^(1/2)-468)/(-270)

x = (-12*66^(1/2)-468)/(-270)

( x-((12*66^(1/2)-468)/(-270)) )

x-((12*66^(1/2)-468)/(-270)) = 0 // + (12*66^(1/2)-468)/(-270)

x = (12*66^(1/2)-468)/(-270)

x in { (-12*66^(1/2)-468)/(-270), (12*66^(1/2)-468)/(-270) }

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