SOLUTION: How would I factor this? Im stuck on this one. Maybe because numbers are high. I know I learned this in class but Im drawing a blank now. 48x^2+60x-36 Thank you ahead of tim

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How would I factor this? Im stuck on this one. Maybe because numbers are high. I know I learned this in class but Im drawing a blank now. 48x^2+60x-36 Thank you ahead of tim      Log On


   

Question 780690: How would I factor this? Im stuck on this one. Maybe because numbers are high. I know I learned this in class but Im drawing a blank now.
48x^2+60x-36
Thank you ahead of time for help!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Set equal to zero
+48x%5E2+%2B+60x+-+36+=+0+
Divide both sides by +12+
+4x%5E2+%2B+5x+-+3+=+0+
Use the quadratic equation
+x+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+
+a+=+4+
+b+=+5+
+c+=+-3+
+x+=+%28+-5+%2B-+sqrt%28+5%5E2+-+4%2A4%2A%28-3%29+%29%29+%2F+%282%2A4%29+
+x+=+%28+-5+%2B-+sqrt%28+25+%2B+48+%29%29+%2F+8+
+x+=+%28+-5+%2B+sqrt%28+73+%29%29+%2F+8+
and, also
+x+=+%28+-5+-+sqrt%28+73+%29+%29+%2F+8+
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The factors are:

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You can check by multiplying it out