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30xx-28x+6=0

1. Take out common factor (2):

2(15xx-14x+3)=0

2. Multiply first and third terms:

15*3=45

3. Factor 45, find factors that add up to the second term (-14):

45=3*3*5

45=9*5, -5*-9

45=15*3, -15*-3

4. Rewrite equation:

2(15xx-14x+3)=0

2(15xx-5x-9x+3)=0

5. Factor pairs of terms (ie first and second, third and fourth):

2(15xx-5x-9x+3)=0

2(5x(3x-1)-3(3x-1))=0

6. Take out common factor:

2(3x-1)(5x-3)=0

Rule: If the product of a set of terms is zero, one or more of the terms must be zero

2 /= 0

3x-1=0 --> 3x=1 --> 1/3=x

5x-3=0 --> 5x=3 --> 3/5=x

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