Answer: x= -7/2 x=1
Explanation:
You first need to bring all terms to 1 side and make =0
Assuming there is a + in front of 14
2x²+14x=-9x+7
2x²+5x-7=0
multiply the first and last find 2 numbers that multiply to that number and add to the middle
+7 and -2 multiply to -14 but add to 5 substitute those numbers for the 5x
2x²+7x-2x-7 see how the 7x-2x is actually 5x. Just making it look diff
(2x²+7x)(-2x-7) put parentheses around the 1st 2 terms and last to group. This is not your factoring. you are going to take the GCF (greatest common factor from both)
x(2x+7)-1(2x+7) if the items in the parentheses are same, you did a good job so far. What is in the parenthesesis one of your factors and whatever leftover is your other
(2x+7)(x-1) =0 now set each =0 and solve for x
2x+7=0 x-1=0
2x=-7
x= -7/2 x=1