° ∪ ° Hi there!
Let's solve your equation step-by-step.
[tex]3 x^{2} + \frac{4x}{2} x + 9 = 5[/tex]
Step 1) Simplify both sides of the equation.
[tex]5 x^{2} + 9 = 5[/tex]
Step 2) Subtract 9 from both sides.
[tex]5 x^{2} + 9 - 9 = 5 - 9[/tex]
[tex]5 x^{2} = -4[/tex]
Step 3) Divide both sides by 5.
[tex] \frac{5x^2}{5} = \frac{-4}{5}[/tex]
[tex] x^{2} = \frac{-4}{5} [/tex]
Step 4) Take the square root.
(This isn't something I can write the whole thing with the pretty writing.)
x = ± [tex] \sqrt \frac{-4}{5} [/tex]
Answer -
There are no real solutions.
We, unfortunately, do not have an x since there are no real solutions.
Hope this helps! :D