(-2/3x-1/6)x+7=6

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Solution for (-2/3x-1/6)x+7=6 equation:


x in (-oo:+oo)

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

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

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

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

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

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

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

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

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

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

DELTA = 97/36

DELTA > 0

x = ((97/36)^(1/2)+1/6)/(-2/3*2) or x = (1/6-(97/36)^(1/2))/(-2/3*2)

x = -3/4*((97/36)^(1/2)+1/6) or x = -3/4*(1/6-(97/36)^(1/2))

(x+3/4*((97/36)^(1/2)+1/6))*(x+3/4*(1/6-(97/36)^(1/2))) = 0

(x+3/4*((97/36)^(1/2)+1/6))*(x+3/4*(1/6-(97/36)^(1/2))) = 0

( x+3/4*((97/36)^(1/2)+1/6) )

x+3/4*((97/36)^(1/2)+1/6) = 0 // - 3/4*((97/36)^(1/2)+1/6)

x = -(3/4*((97/36)^(1/2)+1/6))

x = -3/4*((97/36)^(1/2)+1/6)

( x+3/4*(1/6-(97/36)^(1/2)) )

x+3/4*(1/6-(97/36)^(1/2)) = 0 // - 3/4*(1/6-(97/36)^(1/2))

x = -(3/4*(1/6-(97/36)^(1/2)))

x = -3/4*(1/6-(97/36)^(1/2))

x in { -3/4*((97/36)^(1/2)+1/6), -3/4*(1/6-(97/36)^(1/2)) }

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