document.write( "Question 32822: Solve the equation.\r
\n" ); document.write( "\n" ); document.write( "1. 3a^2=-a+2\r
\n" ); document.write( "\n" ); document.write( "2. 3(x-3)=2(6-x)\r
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\n" ); document.write( "\n" ); document.write( "I am having alot of trouble with these three problems. I got x=-9 for problem two. I need for somebody to show me the steps so that I can understand them for the test. These questions do not come from a book they are comming from a review sheet. I know there is only one submission per day but I really need help on these three problms. Thanks hope you can help.
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Algebra.Com's Answer #19235 by Nate(3500)\"\" \"About 
You can put this solution on YOUR website!
1. 3a^2=-a+2
\n" ); document.write( "first, let us get the whole equation equal to zero; so:
\n" ); document.write( "3a^2+a-2=0
\n" ); document.write( "then, multiply the leading coefficient(the coefficient with the variable that has the highest degree; it is 3 in this problem) with the constant (the number that doesn't have a variable; it is -2 in this problem) to get -6......
\n" ); document.write( "now, find factors of -6 that add up to the coefficient of the middle term (1a)
\n" ); document.write( "Those factors are 3 and -2....so let us fit those numbers into the problem
\n" ); document.write( "3a^2+a-2=0 original
\n" ); document.write( "3a^2+3a-2a-2=0 original with factors
\n" ); document.write( "(3a^2+3a)+(-2a-2)=0 grouping
\n" ); document.write( "3a(a+1)-2(a+1)=0 take out the common multiple
\n" ); document.write( "(3a-2)(a+1)=0 combine
\n" ); document.write( "now, use the zero property to find what (a) is:
\n" ); document.write( "3a-2=0
\n" ); document.write( "a=2/3
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\n" ); document.write( "a+1=0
\n" ); document.write( "a=-1
\n" ); document.write( "SO, -1 and 2/3 are your answers!
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\n" ); document.write( "2. 3(x-3)=2(6-x)
\n" ); document.write( "3(x-3)=2(6-x) original
\n" ); document.write( "3x-9=12-2x distribute
\n" ); document.write( "5x=21 get all variables to one side and vise versa with constant numbers
\n" ); document.write( "x=21/5 your answer!\r
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