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How do you factor 30x2-28x plus 6 equals 0 using the zero product rule?
Wiki User
∙ 13y ago
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
Wiki User
∙ 13y ago
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