7/2(4x-6w)-x/3(6+9x)

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Solution for 7/2(4x-6w)-x/3(6+9x) equation:


x in (-oo:+oo)

(7/2)*(4*x-(6*w))-((x/3)*(9*x+6)) = 0

(7/2)*(4*x-6*w)-((x/3)*(9*x+6)) = 0

7/2*(4*x-6*w)-1*1/3*x*(9*x+6) = 0

7/2*(4*x-6*w)-1*1/3*x*(9*x+6) = 0

12*x-21*w-3*x^2 = 0

12*x-21*w-3*x^2 = 0

12*x-21*w-3*x^2 = 0

DELTA = 12^2-(-21*(-3)*4*w)

DELTA = 144-252*w

144-252*w = 0

144-252*w = 0 // - 144

-252*w = -144 // : -252

w = -144/(-252)

w = 4/7

DELTA = 0 <=> t_3 = 4/7

x = -12/(-3*2) i w = 4/7

x = 2 i w = 4/7

( x = ((144-252*w)^(1/2)-12)/(-3*2) or x = (-(144-252*w)^(1/2)-12)/(-3*2) ) i w > 4/7

( x = ((144-252*w)^(1/2)-12)/(-6) or x = ((144-252*w)^(1/2)+12)/6 ) i w > 4/7

w-4/7 > 0

w-4/7 > 0 // + 4/7

w > 4/7

x in { 2, ((144-252*w)^(1/2)-12)/(-6), ((144-252*w)^(1/2)+12)/6 }

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