Question

How do I solve 3x^2 +11x-34=0

Answer 1

We need to factor this trinomial by grouping.

The first step in this process consists of splitting the middle term into two terms.

11x has been split into -6x and 17x .

Notice that one common factor can be factored from the first 2 terms, and another from the second 2 terms

Answer 2

In order to factor this polynomial, we need to independently factor the first two and the last two terms.

This process will create two new terms containing a common factor.

Answer 3

Okay what is the last step?

Answer 4

There are multiple steps to this problem.

Answer 5

Okay, Thank you.

Answer 6

We need to reduce this fraction to the lowest terms.

This can be done by dividing out those factors that appear both in the numerator and in the denominator.

This is the common factor:

3x.

Answer 7

As you can see, numerical terms in this expression have been added.

Answer 8

That is helpful we are getting somewhere. I didn't know this.

Answer 9

We need to factor the GCF (Greatest Common Factor).

The resulting term is a product of the GCF and the original expression divided by the GCF.

The GCF is equal to x - 2.

Answer 10

I'm writing this down.

Answer 11

We need to reduce this fraction to the lowest terms.

This can be done by dividing out those factors that appear both in the numerator and in the denominator.

This is the common factor:

x - 2.

Answer 12

Is there another one answer.

Answer 13

Yes. Give me a minute

Answer 14

Okay, I got you.

Answer 15

In order to solve this non-linear equation, we will apply the zero product theorem.

That means that each variable factor in the original equation needs to be set to zero.

Answer 16

In order to solve this linear equation, we need to group all the variable terms on one side, and all the constant terms on the other side of the equation.

- term -2 , will be moved to the right side.

Notice that a term changes sign when it 'moves' from one side of the equation to the other.

Answer 17

Is it a fraction? The second answer?

Answer 18

We need to get rid of expression parentheses.

If there is a negative sign in front of it, each term within the expression changes sign.

Otherwise, the expression remains unchanged.

In our attached picture, there are no negative expressions.

Answer 19

-17/3. is that it. I think that is it.

Answer 20

Numerical terms in this expression have been added.

Answer 21

-2

Answer 22

No positive 2, That is what you gave me. My bad.

Answer 23

Thank you! So much you have been very helpful. Probably the best help on here. That I have gotten your the most helpful.

Answer 24

Thank you!