Question 1018537: 2x^2 + 6 = -7x
factoring
Answer by addingup(3677)   (Show Source):
You can put this solution on YOUR website! Add 7x on both sides:
2x^2+7x+6 = 0
Now factor the left side
(x+2)(2x+3) = 0
Since you seem to be having trouble factoring (I think I just answered another one of your questions) here is more on the subject:
Our equation will have three elements and one unknown in the form ax^2+bx+c so it will be a quadratic. Note that not all equations can be factored.
To factor a number, we multiply them in FOIL:First, Outer, Inner, Last.
To get 2x^2 we need First two numbers that when multiplied will produce this result:
(x__)(2x__)
Now we need Outer and Inner to add up to 7x, keeping in mind that Last includes Inner:
(x+2)(2x+3)
As you see, the Outers are x on the left and 3 on the right, multiplied = 3x. And our Inner is 2*2x= 4x Add it to the Outer:4x+3x= 7x. So we got our middle number.
Finally we have Last:2*3= 6, and this is the 6 we need to complete our original equation.
Factoring takes a lot of practice and trial-and-error. Be patient and apply yourself.
Best of luck,
J
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