Answer
$$x=\frac{1}{2},\:x=-4$$
Work Step by Step
We solve the given expression by using the rules of Algebra to isolate the variable on one side of the equation. Doing this, we find:
$$ \:2x^2+7x-4=0 \\ x\left(2x-1\right)+4\left(2x-1\right)=0 \\ \left(2x-1\right)\left(x+4\right)=0 \\ x=\frac{1}{2},\:x=-4$$
