Question 1040578
.
I'm not sure how to solve this problem and could use your help:

Find the exact solutions and simplify as much as possible: 
2x^2 + 3 = 6x

am I moving the 6x to the left and the 3 to the right side and combining the x's then dividing?

I really appreciate any guidance! 
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


<pre>
2x^2 + 3 = 6x   --->

{{{2x^2 - 6x + 3}}} = {{{0}}}.


Now use the quadratic formula. Do you know what is it? If not or if you are not sure, see the lessons in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/Introduction-Into-Quadratics.lesson>Introduction into Quadratic Equations</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/proof-of-quadratic-by-completing-the-square.lesson>PROOF of quadratic formula by completing the square</A>

Then you have

{{{x[1,2]}}} = {{{(6 +- sqrt(6^2 -4*2*3))/(2*2)}}} = {{{(6 +- sqrt(12))/4}}} = {{{(3 +- sqrt(3))/2}}}.
</pre>

Solved.