# How do you solve # 4x^2+3=8x#?

##### 2 Answers

The solutions to the equation are

#### Explanation:

We know that this is a quadratic since it has an

To solve quadratics, first set one side equal to

Now, we have to find two numbers that multiply to

After some experimentation, you will find that these two numbers are

Now, split up the

Now, solve for when each factor equals

Those are the answers. We can check out answers by graphing the quadratic

graph{4x^2-8x+3 [-0.5, 2.5, -1.29, 0.419]}

It does, so our answers are correct. Hope this helped!

#### Explanation:

Solve the equation by the new Transforming Method (Socratic Search).

Transformed equation:

Proceeding. Find

Find

The