document.write( "Question 505295: Solve By Factoring\r
\n" ); document.write( "\n" ); document.write( " $\"+3x%5E2%2B5x-2=0+\"$ \n" ); document.write( "

Algebra.Com's Answer #339843 by Maths68(1474) $\"\"$ $\"About$

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3x^2+5x-2=0
\n" ); document.write( "3x^2+6x-x-2=0
\n" ); document.write( "3x(x+2)-1(x+2=0
\n" ); document.write( "3x(x+2)-1(x+2)=0
\n" ); document.write( "(3x-1)(x+2)=0
\n" ); document.write( "3x-1=0 or x+2=0
\n" ); document.write( "3x=1 or x=-2
\n" ); document.write( "3x=1 or x=-2
\n" ); document.write( "x=1/3 or x=-2\r
\n" ); document.write( "\n" ); document.write( "Check
\n" ); document.write( "Put the value of x=1/3 in original equation
\n" ); document.write( "3x^2+5x-2=0
\n" ); document.write( "3(1/3)^2+5(1/3)-2=0
\n" ); document.write( "3(1/9)+(5/3)-2=0
\n" ); document.write( "(1/3)+(5/3)-2=0
\n" ); document.write( "Multiply by 3 both sides of the equation
\n" ); document.write( "3*(1/3)+3*(5/3)-3*2=3*0
\n" ); document.write( "1+5-6=0
\n" ); document.write( "6-6=0
\n" ); document.write( "0=0\r
\n" ); document.write( "\n" ); document.write( "Put the value of x=-2 in original equation
\n" ); document.write( "3(-2)^2+5(-2)-2=0
\n" ); document.write( "3(4)-10-2=0
\n" ); document.write( "12-10-2
\n" ); document.write( "2-2=0
\n" ); document.write( "0=0\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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