Solve for x
x²+5x -(a²+a-6)=0
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Hello friend !!
x2+5x−(a2+a−6)=0
⇒x2+5x−(a2+3a−2a−6)=0
⇒x2+5x−(a(a+3)−2(a+3))=0
⇒x2+5x−(a+3)(a−2)=0
⇒x2+[(a+3)−(a−2)]x−(a+3)(a−2)=0
⇒x2+(a+3)x−(a−2)x−(a+3)(a−2)=0
⇒x[x+(a+3)]−(a−2)[x+(a+3)]=0
⇒[x+(a+3)][x−(a−2)]=0
⇒[x+(a+3)]=0 or [x−(a−2)]=0
⇒x=−(a+3) or x=(a−2)
Hope it helps.
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