x/3-((4x-7)(3x-5))/15

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Solution for x/3-((4x-7)(3x-5))/15 equation:


x in (-oo:+oo)

x/3-(((4*x-7)*(3*x-5))/15) = 0

(-1*(4*x-7)*(3*x-5))/15+x/3 = 0

(-1*3*(4*x-7)*(3*x-5))/(3*15)+(15*x)/(3*15) = 0

15*x-1*3*(4*x-7)*(3*x-5) = 0

138*x-36*x^2-105 = 0

138*x-36*x^2-105 = 0

3*(46*x-12*x^2-35) = 0

46*x-12*x^2-35 = 0

DELTA = 46^2-(-35*(-12)*4)

DELTA = 436

DELTA > 0

x = (436^(1/2)-46)/(-12*2) or x = (-436^(1/2)-46)/(-12*2)

x = (2*109^(1/2)-46)/(-24) or x = (-2*109^(1/2)-46)/(-24)

3*(x-((2*109^(1/2)-46)/(-24)))*(x-((-2*109^(1/2)-46)/(-24))) = 0

(3*(x-((2*109^(1/2)-46)/(-24)))*(x-((-2*109^(1/2)-46)/(-24))))/(3*15) = 0

(3*(x-((2*109^(1/2)-46)/(-24)))*(x-((-2*109^(1/2)-46)/(-24))))/(3*15) = 0 // * 3*15

3*(x-((2*109^(1/2)-46)/(-24)))*(x-((-2*109^(1/2)-46)/(-24))) = 0

( x-((-2*109^(1/2)-46)/(-24)) )

x-((-2*109^(1/2)-46)/(-24)) = 0 // + (-2*109^(1/2)-46)/(-24)

x = (-2*109^(1/2)-46)/(-24)

( x-((2*109^(1/2)-46)/(-24)) )

x-((2*109^(1/2)-46)/(-24)) = 0 // + (2*109^(1/2)-46)/(-24)

x = (2*109^(1/2)-46)/(-24)

x in { (-2*109^(1/2)-46)/(-24), (2*109^(1/2)-46)/(-24) }

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