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| Question 635972:  solve for x, please show work:
 1) 15x^2-8x-12=0
 2) x^2-10=3x
 3) 4-6(2x-8)=x-9
 factor, please show work:
 4) x^2-16 answer = {-4,4} I don't know if that is the correct answer
 5) 3x^2-22x+7
 Answer by sachi(548)
      (Show Source): 
You can put this solution on YOUR website! solve for x, please show work: 1) 15x^2-8x-12=0
 2) x^2-10=3x
 3) 4-6(2x-8)=x-9
 factor, please show work:
 4) x^2-16 answer = {-4,4} I don't know if that is the correct answer
 5) 3x^2-22x+7
 ans:-
 1)15x^2-8x-12=0
 or 15x^2-18x+10x-12=0
 or 3x(5x-6)+2(5x-6)=0
 or (5x-6)(3x+2)=0
 or 5x-6=0 => x=6/5
 or 3x+2=0 => x=-2/3 ans
 2) x^2-10=3x
 or  x^2-10-3x=0
 or x^2-5x+2x-10=0
 or x(x-5)+2(x-5)=0
 or (x-5)(x+2)=0
 or x=5 or -2 ans
 3) 4-6(2x-8)=x-9
 or 4-12x+48-x+9=0
 or -13x+61=0
 or x=61/13 ans
 4) x^2-16 answer = {-4,4} I don't know if that is the correct answer
 yes x^2-16=0
 or x^2-4^2=0
 or (x+4)(x-4)=0
 or x=4 or -4 [as a^2-b^2=(a+b)(a-b)] so correct
 5) 3x^2-22x+7=3x^2-x-21x+7=x(3x-1)-7(3x-1)=(3x-1)(x-7) ans
 
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