Solve 2x^2+7x+6=0
2x2+7x+6=0First this question is asking you to find out what x is, but to do that we need to factorise this equation.Find all the factors that multiply to make 6.3 and 2, 6 and 1Of these factors which one of these, when multiplying one of the numbers by 2, add together to make 7?3 and 2, since multiply 2 by 2 and then adding the result to 3 gets you 7.Therefore the factors for this equation are 3 and 2.Using these factors, we can rewrite this equation in the form of two brackets:(2x + ?)(x + ?) = 0In order to make the above bracket factorisation equal to the equation, we need to put the 3 in the 2x's bracket and the 2 in the x's bracket, since we are going to multiply 2 by 2 in order to get 4. Then 4 can be added to 3 in order to get 7.(2x + 3)(x + 2) = 0To test the answer, we can expand the brackets and we should get the equation again.(2x + 3)(x + 2) = 02x2 + 4x + 3x + 6 = 02x2 + 7x + 6 = 0
