5x^2/15-(x-9)/6=3/2

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Solution for 5x^2/15-(x-9)/6=3/2 equation:


x in (-oo:+oo)

(5*x^2)/15-((x-9)/6) = 3/2 // - 3/2

(5*x^2)/15-((x-9)/6)-(3/2) = 0

(5*x^2)/15-((x-9)/6)-3/2 = 0

(-1*(x-9))/6+(x^2)/3-3/2 = 0

(-1*2*3*(x-9))/(2*3*6)+(2*6*x^2)/(2*3*6)+(-3*3*6)/(2*3*6) = 0

2*6*x^2-1*2*3*(x-9)-3*3*6 = 0

12*x^2-6*x-54+54 = 0

12*x^2-6*x = 0

12*x^2-6*x = 0

6*x*(2*x-1) = 0

2*x-1 = 0 // + 1

2*x = 1 // : 2

x = 1/2

6*x*(x-1/2) = 0

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

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

6*x*(x-1/2) = 0

( 6*x )

6*x = 0 // : 6

x = 0

( x-1/2 )

x-1/2 = 0 // + 1/2

x = 1/2

x in { 0, 1/2 }

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