SOLUTION: Solve: 12x^3=-11x^2+56x

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Question 440026: Solve:
12x^3=-11x^2+56x
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+12x%5E3=-11x%5E2%2B56x+
+12x%5E3+%2B+11x%5E2+-+56x+=+0+
+x%2A%28+12x%5E2+%2B+11x+-+56+%29+=+0+
Use quadratic formula to solve quadratic
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a+=+12
b+=+11
c+=+-56
x+=+%28-11+%2B-+sqrt%28+11%5E2-4%2A12%2A%28-56%29+%29%29%2F%282%2A12%29+
x+=+%28-11+%2B-+sqrt%28+121+%2B+2688+%29%29+%2F+24+
x+=+%28-11+%2B-+sqrt%28+2809+%29%29+%2F+24+
x+=+%28-11+%2B+53%29+%2F+24+
+x+=+42%2F24+
+x+=+7%2F4+
and
+x+=+%28-11+-+53%29+%2F+24+
+x+=+-64%2F24+
+x+=+-8%2F3+
The other solution is
+x+=+0+
The factoring can be shown as:
+%28+x+-+0+%29%2A%28+x+-+7%2F4+%29%2A%28+x+%2B+8%2F3+%29+=+0+