Question

POSSIBLE (x – 5) (2x + 1) = 0 The equation above uses the Zero Product Property to solve for x. Fill in the blanks with the appropriate answers showing the steps for finding x. I-5 = 0 0 and 2.x + 1 (Add or subtract) five from both sides AND (Add or subtract) one from each side (Multiply or divide) each side by two x = 5 and x = -1/2

Answer 1

Answer:

$\begin{gathered} \frac{2x}{2}=-\frac{1}{2} \\ x=-\frac{1}{2} \end{gathered}$

And

$x=5$

Explanation:

Given the equation;

$(x-5)(2x+1)=0$

Since the product of the two expression equals zero then;

$x-5=0$

and

$2x+1=0$

Add 5 to both side of the first one;

$\begin{gathered} x-5+5=0+5 \\ x=5 \end{gathered}$

and

Subtract 1 from both sides of the second;

$\begin{gathered} 2x+1-1=0-1 \\ 2x=-1 \end{gathered}$

divide both sides by 2;

$\begin{gathered} \frac{2x}{2}=-\frac{1}{2} \\ x=-\frac{1}{2} \end{gathered}$

And

$x=5$