Chapter 2 - Linear and Quadratic Functions - Section 2.4 Properties of Quadratic Functions - 2.4 Assess Your Understanding - Page 157: 2

$x=${$\dfrac{1}{2},−4$}

The trinomial equation is: $2x^2+7x-4=0$ We factor the trinomial equation to obtain: $(2x-1)(x+4)=0$. Use the Zero-Product Property by equating each factor to zero. Then, solve each equation to obtain: $2x-1=0 \implies 2x=1 \\ x+4=0 \implies x=-4$ So, we have: $ x=\dfrac{1}{2}, \ or, x=-4$ Thus, the solutions are: $x=${$\dfrac{1}{2},−4$}