Question

To find the solution to the equation using factoring, we need to first write it in standard form. Which of the following choices is equivalent to the equation:(x-3) (x+5)=10

Answer 1

x² + 2x -25 = 0 (option C)

Explanation:

(x-3) (x+5)=10

To find its equivalent, we need to solve the above expression.

Expand the bracket:

x(x+5) -3(x+5) = 10

x² + 5x -3x - 15 = 10

collect like terms:

x² + 2x -15 -10 = 0

x² + 2x -25 = 0

Hence, the choice equivalent to the equation is x² + 2x -25 = 0 (option C)