Answer:
The answer is 2) x = -7/2 and x = 1
Step-by-step explanation:
You have to use the a•c method.
a^2+b+c
a = 2
b = 5
c = -7
Multiply a(b) = 2(-7)
That'll equal -14. Then find factors of -14 that, when added, will equal to 5 (which is the 'b').
The factors are 7, -2.
Break up the 5x in the equation to -2x and 7x.
It looks like this: 2x^2-2x+7x-7=0
Then group them into two separate groups with parentheses.
It looks like this: (2x^2-2x) + (7x-7)
Then take out the GCF (Greatest Common Factor) for each of the groups.
Like this: 2x(x-1) + 7(x-1)
Then group the 2x and 7 together and only use one of the (x-1).
Like this: (2x+7)(x-1)
Then solve each parentheses by making both equal to zero separately.
Like this: 2x+7 = 0, x-1 = 0
Then solve each one of them for x.
2x+7 = 0
-7 -7
2x = -7
2x/2 = -7/2
x = -7/2
x-1 = 0
+1 +1
x = 1
Then you have your answers: x = -7/2 and x = 1
