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2
7x^2+49x+84
7(x^2+7x+12)
7((x)^2 + (4+3)x+12)
7(x^2+4x+3x+12)
7(x(x+4)+3(x+4)
7(x+3)(x+4)
7(x^2+7x+12)
7((x)^2 + (4+3)x+12)
7(x^2+4x+3x+12)
7(x(x+4)+3(x+4)
7(x+3)(x+4)
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7x2 + 49x + 84 = 0
the we use the method of middle term split ,
7x2 + (21 + 28 )x + 84 = 0
7x2 + 21x+ 28x + 84 =0
then,
7x(x+3) + 28(x+3) = 0
then ,
7x+28 = 0 , x+3 = 0
then, 7x = -28 , x = -3
and x = -4 , -3
hope this answer will help you
the we use the method of middle term split ,
7x2 + (21 + 28 )x + 84 = 0
7x2 + 21x+ 28x + 84 =0
then,
7x(x+3) + 28(x+3) = 0
then ,
7x+28 = 0 , x+3 = 0
then, 7x = -28 , x = -3
and x = -4 , -3
hope this answer will help you
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