Answer
Hence, the first step is wrong and the correct answers are $x=3$ and $x=-\frac{2}{3}$
Work Step by Step
The given equation is
$\Rightarrow 3x^2-7x-6=0$
Use Quadratic Formula.
$\Rightarrow x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$
Substitute $3$ for $a,-7$ for $b$ and $-6$ for $c$.
$\Rightarrow x=\frac{-(-7)\pm\sqrt{(-7)^2-4(3)(-6)}}{2(3)}$
Simplify.
$\Rightarrow x=\frac{7\pm\sqrt{49+72}}{6}$
$\Rightarrow x=\frac{7\pm\sqrt{121}}{6}$
$\Rightarrow x=\frac{7\pm11}{6}$
The solutions are $x=\frac{7+11}{6}=\frac{18}{6}=3$ and $x=\frac{7-11}{6}=\frac{-4}{6}=-\frac{2}{3}$
Hence, the first step is wrong and the correct answers are $x=3$ and $x=-\frac{2}{3}$
