Solve the equation by factoring.

2x^{2} - 15x = 8

2x^2-15x-8=0

set 2x^2-15x-8=(2x+a)(x+b)=0

you can have 2x^2+2bx+ax+ab=0

set 2b+a=-15 and ab=8

solve these two equations, you can get a=1 and b=-8

so 2x^2-15x-8=(2x+1)(x-8)=0

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