3(x-6)/4x=36

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Solution for 3(x-6)/4x=36 equation:


x in (-oo:+oo)

x*((3*(x-6))/4) = 36 // - 36

x*((3*(x-6))/4)-36 = 0

(3*x*(x-6))/4-36 = 0

(3*x*(x-6))/4+(-36*4)/4 = 0

3*x*(x-6)-36*4 = 0

3*x^2-18*x-144 = 0

3*x^2-18*x-144 = 0

3*(x^2-6*x-48) = 0

x^2-6*x-48 = 0

DELTA = (-6)^2-(-48*1*4)

DELTA = 228

DELTA > 0

x = (228^(1/2)+6)/(1*2) or x = (6-228^(1/2))/(1*2)

x = (2*57^(1/2)+6)/2 or x = (6-2*57^(1/2))/2

3*(x-((6-2*57^(1/2))/2))*(x-((2*57^(1/2)+6)/2)) = 0

(3*(x-((6-2*57^(1/2))/2))*(x-((2*57^(1/2)+6)/2)))/4 = 0

(3*(x-((6-2*57^(1/2))/2))*(x-((2*57^(1/2)+6)/2)))/4 = 0 // * 4

3*(x-((6-2*57^(1/2))/2))*(x-((2*57^(1/2)+6)/2)) = 0

( x-((2*57^(1/2)+6)/2) )

x-((2*57^(1/2)+6)/2) = 0 // + (2*57^(1/2)+6)/2

x = (2*57^(1/2)+6)/2

( x-((6-2*57^(1/2))/2) )

x-((6-2*57^(1/2))/2) = 0 // + (6-2*57^(1/2))/2

x = (6-2*57^(1/2))/2

x in { (2*57^(1/2)+6)/2, (6-2*57^(1/2))/2 }

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