1x/3(x-2)-1/4(2x+3)

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Solution for 1x/3(x-2)-1/4(2x+3) equation: 


x in (-oo:+oo)

((1*x)/3)*(x-2)-((1/4)*(2*x+3)) = 0

(x/3)*(x-2)+(-1/4)*(2*x+3) = 0

1/3*x*(x-2)-1/4*(2*x+3) = 0

1/3*x*(x-2)-1/4*(2*x+3) = 0

1/3*x^2-7/6*x-3/4 = 0

1/3*x^2-7/6*x-3/4 = 0

1/3*x^2-7/6*x-3/4 = 0

DELTA = (-7/6)^2-(-3/4*1/3*4)

DELTA = 85/36

DELTA > 0

x = ((85/36)^(1/2)+7/6)/(1/3*2) or x = (7/6-(85/36)^(1/2))/(1/3*2)

x = 3/2*((85/36)^(1/2)+7/6) or x = 3/2*(7/6-(85/36)^(1/2))

(x-3/2*(7/6-(85/36)^(1/2)))*(x-3/2*((85/36)^(1/2)+7/6)) = 0

(x-3/2*(7/6-(85/36)^(1/2)))*(x-3/2*((85/36)^(1/2)+7/6)) = 0

( x-3/2*((85/36)^(1/2)+7/6) )

x-3/2*((85/36)^(1/2)+7/6) = 0 // + -3/2*((85/36)^(1/2)+7/6)

x = -(-3/2*((85/36)^(1/2)+7/6))

x = 3/2*((85/36)^(1/2)+7/6)

( x-3/2*(7/6-(85/36)^(1/2)) )

x-3/2*(7/6-(85/36)^(1/2)) = 0 // + -3/2*(7/6-(85/36)^(1/2))

x = -(-3/2*(7/6-(85/36)^(1/2)))

x = 3/2*(7/6-(85/36)^(1/2))

x in { 3/2*((85/36)^(1/2)+7/6), 3/2*(7/6-(85/36)^(1/2)) }

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