SOLUTION: {{{3x^2-10x=-7}}}

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Question 443856: 3x%5E2-10x=-7
Answer by chriswen(106) About Me  (Show Source):
You can put this solution on YOUR website!
3x%5E2-10x=-7
3x%5E2-10x%2B7=0
You want to find two numbers that:
multiply to 7*3=21
and add to -10
therefore -3 and -7
3x%5E2-3x-7x%2B7=0
3x%28x-1%29-7%28x-1%29=0
%283x-7%29%28x-1%29=0
So,
3x-7=0
3x=7
x=7%2F3
or
x-1=0
x=1
So therefore, x=7/3 or x=1 .