document.write( "Question 668259: Please help me with algebra? Quadratic formula?
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\n" ); document.write( "\n" ); document.write( "Please help me! I've been trying to figure this out for over 30 minutes. I have the answer but I need to know how to get to that answer. I keep messing up somewhere. Please help me! Thank you.
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Algebra.Com's Answer #415456 by ReadingBoosters(3246)\"\" \"About 
You can put this solution on YOUR website!
Multiply by 16 to rid the equation of fractions.
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\n" ); document.write( "\"14x%5E2+-+12x+%2B+5+=+0\"\r
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Solved by pluggable solver: Quadratic Formula
Let's use the quadratic formula to solve for x:

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\n" ); document.write( " Starting with the general quadratic
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\n" ); document.write( " \"ax%5E2%2Bbx%2Bc=0\"
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\n" ); document.write( " the general solution using the quadratic equation is:
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\n" ); document.write( " \"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29\"
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\n" ); document.write( " So lets solve \"14%2Ax%5E2%2B12%2Ax%2B5=0\" ( notice \"a=14\", \"b=12\", and \"c=5\")
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\n" ); document.write( " \"x+=+%28-12+%2B-+sqrt%28+%2812%29%5E2-4%2A14%2A5+%29%29%2F%282%2A14%29\" Plug in a=14, b=12, and c=5
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\n" ); document.write( " \"x+=+%28-12+%2B-+sqrt%28+144-4%2A14%2A5+%29%29%2F%282%2A14%29\" Square 12 to get 144
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\n" ); document.write( " \"x+=+%28-12+%2B-+sqrt%28+144%2B-280+%29%29%2F%282%2A14%29\" Multiply \"-4%2A5%2A14\" to get \"-280\"
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\n" ); document.write( " \"x+=+%28-12+%2B-+sqrt%28+-136+%29%29%2F%282%2A14%29\" Combine like terms in the radicand (everything under the square root)
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\n" ); document.write( " \"x+=+%28-12+%2B-+2%2Ai%2Asqrt%2834%29%29%2F%282%2A14%29\" Simplify the square root (note: If you need help with simplifying the square root, check out this solver)
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\n" ); document.write( " \"x+=+%28-12+%2B-+2%2Ai%2Asqrt%2834%29%29%2F%2828%29\" Multiply 2 and 14 to get 28
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\n" ); document.write( " After simplifying, the quadratic has roots of
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\n" ); document.write( " \"x=-3%2F7%2Bsqrt%2834%29%2F14%2Ai\" or \"x=-3%2F7-sqrt%2834%29%2F14%2Ai\"
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