Question 2714
{{{4x^2 + 27x - 7 = 0 }}}
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We need factors that when multiplies give us: (4*-7)=-28
We also need factors that when added up give us: +27
These factors are: +28,-1
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{{{4x^2 + 27x - 7 = 0 }}}
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{{{4x^2 + 28x -1x - 7 = 0 }}}
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{{{4x(x + 7)-1(x + 7) = 0 }}}
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{{{(x+7)(4x-1) = 0 }}}
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Thus we get,
(x+7)=0 AND (4x-1)=0
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Resulting values of x becoming,
x=-7 AND x=(1/4)
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<b>Solution set={-7,1/4}</b>
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Hope this helps,
best of luck