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Let's factor this quadratic equation that has a coefficient on the 'X' squared term.

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We need to split our 'X' variables, and to find the way to split them, the trick is to multiply the 'X' squared coeffient by our constant of minus 10

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Now we need two values that multiply to negative 120 and add to negative 7

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Negative 15 and positive 8 meet that criteria, so we can split our 'X' variables into those two coefficients

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We can rewrite our quadratic with the 'X' term split out

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Now let's group into two binomials

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We can remove a common factor of 3 'X' from the first

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And we can remove a common factor of 2 from the second

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We now have the entire term in brackets, 4 'X' minus 5, as a common factor, so we can remove that and we have our answer