solve the equation x^3+67x-126=0 and pls give a generalised method of solving cubics,thank u

theres no method of solving cubic eqn u have to put values like 1,2,-1,-2 etc and find out the most appropriate one

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i think i doesn't have any solution.Generally in cubic we try to get factors that make eqn=0
Then we solve by factorising it.But sometimes we  should put the values of x as 1,-1,2,-2,3,-3.Mostly you will get an  idea which value to put.
Like here i put x=2
we get 8+134-126 but that's not = to  0 .  
putting 1or -1 will not make a total to cancel 126. similarly if you'll put values 3,-3 or greater than that,you'll get total much above 126,so you'll not be able to cancel.
 Now take the equation: 

its easy just pu thte factors of the constant then u wil get the root