document.write( "Question 1062214: Could you please help me. What is the solution of the equation 2(x+2)^2-4=28 when solved for x. \n" ); document.write( "

Algebra.Com's Answer #677045 by math_helper(2461) $\"\"$ $\"About$

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$\"+2%28x%2B2%29%5E2+-+4+=+28+\"$
\n" ); document.write( " $\"+2%28x%5E2%2B4x%2B4%29+-+4+-+28+=+0+\"$
\n" ); document.write( " $\"++2x%5E2+%2B+8x+%2B+8+-+4+-28+=+0+\"$
\n" ); document.write( " $\"++2x%5E2+%2B+8x+-+24+=+0+\"$
\n" ); document.write( " $\"+++x%5E2+%2B+4x+-+12+=+0+\"$ (divided previous line by 2, both sides)
\n" ); document.write( " $\"++%28x-2%29%28x%2B6%29+=+0+\"$ \r
\n" ); document.write( "\n" ); document.write( "x=2 and x=-6
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\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( "x=2: 2(x+2)^2 - 4 = 2(4)^2 - 4 = 2(16) - 4 = 32-4 = 28 (ok)
\n" ); document.write( "x=-6 2(x+2)^2 - 4= 2(-6+2)^2 - 4 = 2(16)- 4 = 32-4 = 28 (ok)
\n" ); document.write( "—
\n" ); document.write( "Answer:
\n" ); document.write( "x = 2 and
\n" ); document.write( "x = -6 both solve the equation
\n" ); document.write( "—
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