SOLUTION: Hello, can someone solve this inequality? thanks {{{ 4x^2+2x+7>=14x^2-4x }}}

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Question 188694: Hello, can someone solve this inequality? thanks
+4x%5E2%2B2x%2B7%3E=14x%5E2-4x+
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
4x^2+2x+7>=14x^2-4x
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10x^2-6x-7 <= 0
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Solve the EQUALITY:
x = [6 +- sqrt(36 -4*10*-7)]/20
x= [6 +- sqrt(316)]/20
x = [6 +- 17.7764]20
x = 1.1888 or x = -0.5888
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The parabola opens upward so the interval where 10x^2-6x-7
is less than zero is -0.5888 < x < 1.1888
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Final solution: -0.5888 <= x <= 1.1888
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Cheers,
Stan H.