7x/8(x-2)=12

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Solution for 7x/8(x-2)=12 equation: 


x in (-oo:+oo)

((7*x)/8)*(x-2) = 12 // - 12

((7*x)/8)*(x-2)-12 = 0

7/8*x*(x-2)-12 = 0

7/8*x*(x-2)-12 = 0

7/8*x^2-7/4*x-12 = 0

7/8*x^2-7/4*x-12 = 0

7/8*x^2-7/4*x-12 = 0

DELTA = (-7/4)^2-(-12*7/8*4)

DELTA = 721/16

DELTA > 0

x = ((721/16)^(1/2)+7/4)/(7/8*2) or x = (7/4-(721/16)^(1/2))/(7/8*2)

x = 4/7*((721/16)^(1/2)+7/4) or x = 4/7*(7/4-(721/16)^(1/2))

(x-4/7*(7/4-(721/16)^(1/2)))*(x-4/7*((721/16)^(1/2)+7/4)) = 0

(x-4/7*(7/4-(721/16)^(1/2)))*(x-4/7*((721/16)^(1/2)+7/4)) = 0

( x-4/7*((721/16)^(1/2)+7/4) )

x-4/7*((721/16)^(1/2)+7/4) = 0 // + -4/7*((721/16)^(1/2)+7/4)

x = -(-4/7*((721/16)^(1/2)+7/4))

x = 4/7*((721/16)^(1/2)+7/4)

( x-4/7*(7/4-(721/16)^(1/2)) )

x-4/7*(7/4-(721/16)^(1/2)) = 0 // + -4/7*(7/4-(721/16)^(1/2))

x = -(-4/7*(7/4-(721/16)^(1/2)))

x = 4/7*(7/4-(721/16)^(1/2))

x in { 4/7*((721/16)^(1/2)+7/4), 4/7*(7/4-(721/16)^(1/2)) }

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