Question

Solve the equation using the zero-product property.

(2x − 8)(7x + 5) = 0

Answer 1

Answer:

x=4and -5/7

Step-by-step explanation:

i hope it will be easy

Answer 2

$\huge\text{Hey there!}$

$\large\text{Equation}\downarrow$

$\large\textsf{(2x - 8)(7x + 5) = 0}$

$\large\text{Step-by-Step}\downarrow$

$\large\text{SIMPLIFY EACH SIDES OF THE EQUATION}$

$\large\textsf{14x}\mathsf{^2} \large\textsf{ - 14x - 40 = 0}$

$\large\text{FACTOR the LEFT SIDE of the EQUATION}$

$\large\textsf{2 (7x + 5) (x - 4) = 0}$

$\large\text{SET the FACTORS to EQUAL 0}$

$\large\textsf{7x + 5 = 0 OR x - 4 = 0}$

$\large\text{SIMPLIFY BOTH OF YOUR EQUATIONS \& YOU HAVE YOUR ANSWER}$

$\boxed{\boxed{\large\textsf{Therefore, your ANSWER is: \bf x = }\mathsf{\bf - \dfrac{5}{7}\large\textsf{ \bf or x = 4}}}} \huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~$\frak{Amphitrite1040:)}$