1/8x^2-5/6x=7/12

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Solution for 1/8x^2-5/6x=7/12 equation: 


x in (-oo:+oo)

(1/8)*x^2-((5/6)*x) = 7/12 // - 7/12

(1/8)*x^2-((5/6)*x)-(7/12) = 0

(1/8)*x^2+(-5/6)*x-7/12 = 0

1/8*x^2-5/6*x-7/12 = 0

DELTA = (-5/6)^2-(-7/12*1/8*4)

DELTA = 71/72

DELTA > 0

x = ((71/72)^(1/2)+5/6)/(1/8*2) or x = (5/6-(71/72)^(1/2))/(1/8*2)

x = 4*((71/72)^(1/2)+5/6) or x = 4*(5/6-(71/72)^(1/2))

x in { 4*(5/6-(71/72)^(1/2)), 4*((71/72)^(1/2)+5/6) }

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