Question

check all that are equal to the equation below:
$5x(x - 2)=4$
$5x - 10=4$
$5x^2 - 10x=4$
$5x^2 - 10x - 4=0$
$10x^2=4$

Explanation:

Step1: Expand left-hand side

$$5x(x-2) = 5x \cdot x - 5x \cdot 2 = 5x^2 - 10x$$
So the equation becomes $5x^2 - 10x = 4$.

Step2: Rearrange to standard quadratic form

Subtract 4 from both sides:
$$5x^2 - 10x - 4 = 0$$

Step3: Compare with options

Check each option against the expanded and rearranged forms.

Answer:

B. $5x^2 - 10x = 4$
C. $5x^2 - 10x - 4 = 0$