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Use the quadratic formula: (-b +/- sqrt(b2 - 4ac))/2a
in your example a = 9, b = 4 and c = 5 giving:
(-4 +/- (sqrt (16 - 180))/18
This has no real solution as it involves the square root of a negative number.
If you've got your signs wrong possible solutions are:
(9x + 5)(x - 1) = 9x2 - 4x - 5
or ((9x - 5)(x + 1) = 9x2 + 4x - 5
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