Quadratic polynomial can be factored using the transformation ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right), where x_{1} and x_{2} are the solutions of the quadratic equation ax^{2}+bx+c=0.
x=\frac{-3±\sqrt{3^{2}}}{2\times 2}
All equations of the form ax^{2}+bx+c=0 can be solved using the quadratic formula: \frac{-b±\sqrt{b^{2}-4ac}}{2a}. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
x=\frac{-3±3}{2\times 2}
Take the square root of 3^{2}.
x=\frac{-3±3}{4}
Multiply 2 times 2.
x=\frac{0}{4}
Now solve the equation x=\frac{-3±3}{4} when ± is plus. Add -3 to 3.
x=0
Divide 0 by 4.
x=\frac{-6}{4}
Now solve the equation x=\frac{-3±3}{4} when ± is minus. Subtract 3 from -3.
x=-\frac{3}{2}
Reduce the fraction \frac{-6}{4} to lowest terms by extracting and canceling out 2.