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The discriminant for the quadratic is b2-4ac = 302 - 4*4*45 = 900 - 720 = 180

Since 180 is not a perfect square, the roots of the equation are irrational and it is far from straightforward to solve such an equation by factoring.

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Q: How do you solve 4x2 minus 30x plus 45 by factoring?
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