y3-xy2-14x2y=24x3=0......solve this equation for getting three separate straight lines....ans not at all matching...

Dear shivanshi

y³-xy²-14x²y+24x³=0

y³-2xy² + xy²-2x²y-12x²y+24x³=0

y²(y-2x) +xy(y-2x) -12x²(y-2x)=0

(y-2x)(y² +xy -12x²)=0

(y-2x)(y-3x)(y+4x)=0

three lines are

y=2x

y=3x

y=-4x

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