Question 571974
2xsquared minus 37x plus 66 = 0


{{{2x^2 - 37x + 66}}}


We're looking for 2 factors whose product is +{{{166}}}, and whose sum is {{{- 37}}}


These 2 factors are: -{{{33x}}} and -{{{4x}}}


Replacing -{{{37x}}} with these 2 factors, we get: {{{2x^2 - 33x - 4x + 66}}}


Factoring out {{{2x^2  - 33x}}} and {{{- 4x + 66}}}, we get:  


x(2x - 33) - 2(2x - 33)


This gives us: {{{highlight_green((x - 2)(2x - 33))}}}


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