#### Answer

False

#### Work Step by Step

The standard form of a quadratic equation is $ax^{2}+bx+c=0$.
Also, the quadratic formula is:
$x=\frac{-b \pm \sqrt {b^{2}-4ac}}{2a}$
A quadratic equation must be brought into its standard form of $ax^{2}+bx+c=0$ if it is to be solved by the quadratic formula.
Since $3x^{2}+2x+5=0$ is according to the standard form of a quadratic equation $ax^{2}+bx+c=0$, it can be directly solved through the quadratic formula without the reduction of its coefficient $a$ to one.
Therefore, the question statement is false.