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OpenStudy (anonymous):
7.
Solve the equation
5/4x-4 - 6/x+1 = -1
Help Please
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OpenStudy (anonymous):
Multiply through by common denominator:
(4x-4)(x+1)
OpenStudy (anonymous):
how do i do that?
OpenStudy (anonymous):
Know how to use the equation function. Give me the right representation of your equation, or better still, draw it. thx
OpenStudy (anonymous):
so end up with 5x+5/(4x+4)(x+1) - 24x+24/(4x+4)(x+1) = -1/(4x+4)(x+1) ?
OpenStudy (anonymous):
Is it this?\[\frac{ 5 }{ 4x-4 } - \frac{ 6 }{ x+1} = -1\]
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OpenStudy (anonymous):
yes
OpenStudy (anonymous):
\[\frac{ 5 }{ 4x-4 } (4x+4)(x+1)- \frac{ 6 }{ x+1}(4x+4)(x+1) = -1(4x+4)(x+1)\]
OpenStudy (anonymous):
ok so
OpenStudy (anonymous):
what's next
OpenStudy (anonymous):
\[\frac{ 5 }{ 4x-4 } (4x-4)(x+1)- \frac{ 6 }{ x+1}(4x-4)(x+1) = -1(4x-4)(x+1)\]
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OpenStudy (anonymous):
Sorry, previous had wrong sign
OpenStudy (anonymous):
So, the identical brackets cancel out to:\[5(x+1)-6(4x-4) = -1(4x^2-4)\]
OpenStudy (anonymous):
Can you do the rest?
OpenStudy (anonymous):
Let me help you rearrange, so you can solve for the two values of x\[4x^2-19x+21 = 0\]Two factors you need are 12 and 7. Good luck :)
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