(1.2x+6)/0.8x=3.5

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Solution for (1.2x+6)/0.8x=3.5 equation: 


x in (-oo:+oo)

x*((1.2*x+6)/0.8) = 3.5 // - 3.5

x*((1.2*x+6)/0.8)-3.5 = 0

(x*(1.2*x+6))/0.8-3.5 = 0

(x*(1.2*x+6))/0.8+(-3.5*0.8)/0.8 = 0

x*(1.2*x+6)-3.5*0.8 = 0

1.2*x^2+6*x-2.8 = 0

1.2*x^2+6*x-2.8 = 0

1.2*x^2+6*x-2.8 = 0

DELTA = 6^2-(-2.8*1.2*4)

DELTA = 49.44

DELTA > 0

x = (49.44^(1/2)-6)/(1.2*2) or x = (-49.44^(1/2)-6)/(1.2*2)

x = 0.41666667*(49.44^(1/2)-6) or x = -0.41666667*(49.44^(1/2)+6)

(x+0.41666667*(49.44^(1/2)+6))*(x-0.41666667*(49.44^(1/2)-6)) = 0

((x+0.41666667*(49.44^(1/2)+6))*(x-0.41666667*(49.44^(1/2)-6)))/0.8 = 0

((x+0.41666667*(49.44^(1/2)+6))*(x-0.41666667*(49.44^(1/2)-6)))/0.8 = 0 // * 0.8

(x+0.41666667*(49.44^(1/2)+6))*(x-0.41666667*(49.44^(1/2)-6)) = 0

( x+0.41666667*(49.44^(1/2)+6) )

x+0.41666667*(49.44^(1/2)+6) = 0 // - 0.41666667*(49.44^(1/2)+6)

x = -(0.41666667*(49.44^(1/2)+6))

x = -0.41666667*(49.44^(1/2)+6)

( x-0.41666667*(49.44^(1/2)-6) )

x-0.41666667*(49.44^(1/2)-6) = 0 // + -0.41666667*(49.44^(1/2)-6)

x = -(-0.41666667*(49.44^(1/2)-6))

x = 0.41666667*(49.44^(1/2)-6)

x in { -0.41666667*(49.44^(1/2)+6), 0.41666667*(49.44^(1/2)-6) }

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