40(x-10)+(x+20)1/3x=360

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Solution for 40(x-10)+(x+20)1/3x=360 equation: 


x in (-oo:+oo)

40*(x-10)+x*(((x+20)^1)/3) = 360 // - 360

40*(x-10)+x*(((x+20)^1)/3)-360 = 0

40*(x-10)+x*((x+20)/3)-360 = 0

40*(x-10)+(x*(x+20))/3-360 = 0

(3*40*(x-10))/3+(x*(x+20))/3+(-360*3)/3 = 0

3*40*(x-10)+x*(x+20)-360*3 = 0

x^2+140*x-1200-1080 = 0

x^2+140*x-2280 = 0

x^2+140*x-2280 = 0

x^2+140*x-2280 = 0

DELTA = 140^2-(-2280*1*4)

DELTA = 28720

DELTA > 0

x = (28720^(1/2)-140)/(1*2) or x = (-28720^(1/2)-140)/(1*2)

x = (4*1795^(1/2)-140)/2 or x = (-4*1795^(1/2)-140)/2

(x-((-4*1795^(1/2)-140)/2))*(x-((4*1795^(1/2)-140)/2)) = 0

((x-((-4*1795^(1/2)-140)/2))*(x-((4*1795^(1/2)-140)/2)))/3 = 0

((x-((-4*1795^(1/2)-140)/2))*(x-((4*1795^(1/2)-140)/2)))/3 = 0 // * 3

(x-((-4*1795^(1/2)-140)/2))*(x-((4*1795^(1/2)-140)/2)) = 0

( x-((-4*1795^(1/2)-140)/2) )

x-((-4*1795^(1/2)-140)/2) = 0 // + (-4*1795^(1/2)-140)/2

x = (-4*1795^(1/2)-140)/2

( x-((4*1795^(1/2)-140)/2) )

x-((4*1795^(1/2)-140)/2) = 0 // + (4*1795^(1/2)-140)/2

x = (4*1795^(1/2)-140)/2

x in { (-4*1795^(1/2)-140)/2, (4*1795^(1/2)-140)/2 }

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