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35k^2 - 22k + 3 = 0

The factors of 35 are 1, 5, 7, 35

The factors of 3 are 1, 3

We need to multiply two factors which add to a sum of 22

As we can see, 3*5 + 1*7 will add to 22.

However we need -22, which is easily fixed by changing the signs of two of the factors: -3*5 + -1*7 = -22

so to factor the equation would be

(7k-3)(5k-1)=0

To find solutions to the equation, set each expression in the equation equal to 0.

7k-3=0

7k=3

k=3/7

5k-1=0

5k=1

k=1/5

So, k= 3/7 or 1/5

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Q: Solve using factoring 35k squared -22k plus 3 equals 0?
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