50x-25(7-4x)=10x/70(4+x)

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Solution for 50x-25(7-4x)=10x/70(4+x) equation: 


x in (-oo:+oo)

50*x-(25*(7-(4*x))) = ((10*x)/70)*(x+4) // - ((10*x)/70)*(x+4)

50*x-(25*(7-(4*x)))-(((10*x)/70)*(x+4)) = 0

(-1/7)*x*(x+4)-25*(7-4*x)+50*x = 0

50*x-25*(7-4*x)-1/7*x*(x+4) = 0

50*x-25*(7-4*x)-1/7*x*(x+4) = 0

696/7*x-1/7*x^2+50*x-175 = 0

1046/7*x-1/7*x^2-175 = 0

1046/7*x-1/7*x^2-175 = 0

1046/7*x-1/7*x^2-175 = 0

DELTA = (1046/7)^2-(-175*(-1/7)*4)

DELTA = 1089216/49

DELTA > 0

x = ((1089216/49)^(1/2)-1046/7)/(-1/7*2) or x = (-(1089216/49)^(1/2)-1046/7)/(-1/7*2)

x = -7/2*((1089216/49)^(1/2)-1046/7) or x = 7/2*((1089216/49)^(1/2)+1046/7)

(x+7/2*((1089216/49)^(1/2)-1046/7))*(x-7/2*((1089216/49)^(1/2)+1046/7)) = 0

(x+7/2*((1089216/49)^(1/2)-1046/7))*(x-7/2*((1089216/49)^(1/2)+1046/7)) = 0

( x+7/2*((1089216/49)^(1/2)-1046/7) )

x+7/2*((1089216/49)^(1/2)-1046/7) = 0 // - 7/2*((1089216/49)^(1/2)-1046/7)

x = -(7/2*((1089216/49)^(1/2)-1046/7))

x = -7/2*((1089216/49)^(1/2)-1046/7)

( x-7/2*((1089216/49)^(1/2)+1046/7) )

x-7/2*((1089216/49)^(1/2)+1046/7) = 0 // + -7/2*((1089216/49)^(1/2)+1046/7)

x = -(-7/2*((1089216/49)^(1/2)+1046/7))

x = 7/2*((1089216/49)^(1/2)+1046/7)

x in { -7/2*((1089216/49)^(1/2)-1046/7), 7/2*((1089216/49)^(1/2)+1046/7) }

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