(3x)(12)/(5)=(2x)(15x)/(20)

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Solution for (3x)(12)/(5)=(2x)(15x)/(20) equation:


x in (-oo:+oo)

(3*12*x)/5 = (2*15*x*x)/20 // - (2*15*x*x)/20

(3*12*x)/5-((2*15*x*x)/20) = 0

(-3/2)*x^2+(3*12*x)/5 = 0

36/5*x-3/2*x^2 = 0

DELTA = (36/5)^2-(-3/2*0*4)

DELTA = 1296/25

DELTA > 0

x = ((1296/25)^(1/2)-36/5)/(-3/2*2) or x = (-(1296/25)^(1/2)-36/5)/(-3/2*2)

x = 0 or x = 24/5

x in { 0, 24/5 }

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