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need help finding all solutions of this equation 9x^4+27x^3-4x^2-12x=0
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\n" ); document.write( "9x^4+27x^3-4x^2-12x=0
\n" ); document.write( "First factor out an x:
\n" ); document.write( "x(9x^3+27x^2-4x-12)=0
\n" ); document.write( "This gives one of the solutions, x = 0
\n" ); document.write( "Now we need to solve 9x^3+27x^2-4x-12=0
\n" ); document.write( "Factor by grouping:
\n" ); document.write( "(9x^3+27x^2) - (4x+12)
\n" ); document.write( "9x^2(x+3) - 4(x+3)
\n" ); document.write( "Since there is a common factor, x+3, by the distributive property we can write
\n" ); document.write( "(9x^2-4)(x+3)
\n" ); document.write( "The first expression is a difference of two squares:
\n" ); document.write( "9x^2-4 = (3x+2)(3x-2)
\n" ); document.write( "So the fully-factored equation is:
\n" ); document.write( "(3x+2)(3x-2)(x+3) = 0
\n" ); document.write( "So the other 3 solutions are:
\n" ); document.write( "x = -3, -2/3, 2/3
\n" ); document.write( "Graph is below:
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