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It says solve the following equation: 1/6x^(2) -7/3x +15/2 = 0 I know i have to factor but i honestly have no clue how to factor out fractions, could anyone help?
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4 votes
It says solve the following equation:


1/6x^(2) -7/3x +15/2 = 0

I know i have to factor but i honestly have no clue how to factor out fractions, could anyone help?

User Bosshoss
by
7.8k points

1 Answer

2 votes
You can get rid of fractions by multiplying equation by largest denominator:


6((1)/(6) x^2 -(7)/(3) x + (15)/(2) = 0) \\ \\ x^2 - 14x+45 = 0

Now it should seem easier to factor.

9*5 = 45 , 9+5 = 14


(x-9)(x-5) = 0
User Rig Veda
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8.4k points
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