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That doesn't factor neatly. Applying the quadratic formula, we find two real solutions: (11 plkus or minus the square root of 14521) divided by 20.

x = 6.575155599650519

x = -5.475155599650519

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9y ago
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11y ago

6x^2 - 11x -10 notice that 6(-10) = -60 which can be factored many ways

1(-60); 2(-30) etc but the important factors are 4(-15)

because 4(-15) = -60 AND 4+(-15) = -11 (coefficent of x)

so rewrite the equation using this fact as 6x^2 + (-15 + 4)x -10

use distrib. prop = 6x^2 -15x +4x -10

group as binomials = (6x^2 - 15x) + (4x - 10)

factor each using GCF = 3x(2x - 5) + 2(2x - 5)

notice the binomials are the same thus the binomial becomes the new GCF

and can be used thus groupind the terms out of the parenthesis to form

= (2x-5)(3x+2) <-- this is the answer

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Q: How do you factor 10X squared minus 11X minus 360?
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