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I am going to assume that your question is telling us that this expression is equal to 0. If we do not know what it is equal to then we can not answer the question.2x2 + 7x + 6 = 0This factors easily to:(x + 2) (2x + 3) = 0Thusx + 2 = 0x = -2and2x + 3 = 0x = -3/2x = -1.5
0 times x is written as 0x. This is always equal to zero because anything times zero is always zero.
Here is an example:x2 + 3x + 2 = 0This factors to(x + 1) (x + 2) = 0Now we make each bracket in turn equal 0, so:x + 1 = 0x = -1andx + 2 = 0x = -2Thus the roots of this quadratic have been solved by factoring and are -1 & -2.
Yes, of course! Mathematicians do not guess!Let me give an example:x2 + x - 2 = 0 (This is really simple and we can see before we start that x will equal 1 and -2 )This factors to:(x + 2) (x -1) = 0We can now solve the roots by first making the first bracket equal to 0.i.e. x + 2 = 0x = -2Then by making the second bracket equal to 0.x - 1 = 0x = 1Proof indeed that the roots are 1 & -2.Alternatively we can use the quadratic formula (you can search for this on the Internet or in a maths book) to calculate the values of x.
There is no value of x that satisfies the equation. You may be missing an operator (+. - sign).