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OpenStudy (anonymous):
ok, so first you must subtract 15 on both sides, to get the three terms:
15=8x^2-14x
0=8x^2-14x-15
OpenStudy (anonymous):
\[0=8x^2-14x-15 \]
OpenStudy (anonymous):
ill brb
OpenStudy (anonymous):
what e thos pic mathfreak
OpenStudy (anonymous):
ok, sorry im back
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OpenStudy (anonymous):
so now we have to sind a value that when multiplied, it equals -15.
OpenStudy (anonymous):
the only two numbers that could equal -15, would be -3*5, or -5*3
OpenStudy (anonymous):
lets first try 3*-5
(4x+3)(2x-5) next we multiply it out and see if we get back to our original problem. :15=8x^2-14x
OpenStudy (anonymous):
(4x+3)(2x-5)
8x^2-20x+6x-15
8x^2-14x-15.
we know this is right, because we got back to:8x^2-14x-15
OpenStudy (anonymous):
so (4x+3)(2x-5) is the right answer
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OpenStudy (anonymous):
when we multiply that out, we get :
x^2+2x-3. which means this is right. remember how we divided -6x^2? well this is when we put it back. so the final factored answer is:
-6x^2(x^2+2x-3)