((18-3x)/2x)=-6

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Solution for ((18-3x)/2x)=-6 equation:


x in (-oo:+oo)

x*((18-(3*x))/2) = -6 // + 6

x*((18-(3*x))/2)+6 = 0

x*((18-3*x)/2)+6 = 0

(x*(18-3*x))/2+6 = 0

(x*(18-3*x))/2+(2*6)/2 = 0

x*(18-3*x)+2*6 = 0

18*x-3*x^2+12 = 0

18*x-3*x^2+12 = 0

3*(6*x-x^2+4) = 0

6*x-x^2+4 = 0

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

DELTA = 52

DELTA > 0

x = (52^(1/2)-6)/(-1*2) or x = (-52^(1/2)-6)/(-1*2)

x = (2*13^(1/2)-6)/(-2) or x = (-2*13^(1/2)-6)/(-2)

3*(x-((2*13^(1/2)-6)/(-2)))*(x-((-2*13^(1/2)-6)/(-2))) = 0

(3*(x-((2*13^(1/2)-6)/(-2)))*(x-((-2*13^(1/2)-6)/(-2))))/2 = 0

(3*(x-((2*13^(1/2)-6)/(-2)))*(x-((-2*13^(1/2)-6)/(-2))))/2 = 0 // * 2

3*(x-((2*13^(1/2)-6)/(-2)))*(x-((-2*13^(1/2)-6)/(-2))) = 0

( 3 )

3 = 0

x belongs to the empty set

( x-((-2*13^(1/2)-6)/(-2)) )

x-((-2*13^(1/2)-6)/(-2)) = 0 // + (-2*13^(1/2)-6)/(-2)

x = (-2*13^(1/2)-6)/(-2)

( x-((2*13^(1/2)-6)/(-2)) )

x-((2*13^(1/2)-6)/(-2)) = 0 // + (2*13^(1/2)-6)/(-2)

x = (2*13^(1/2)-6)/(-2)

x in { (-2*13^(1/2)-6)/(-2), (2*13^(1/2)-6)/(-2) }

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