Question

Which is a solution to the equation?

(x-3)(x-5)= 35
x=-8
x=-5
0 x=2
3= 10

Answer 1

x= -2 OR x=10

Explanation:

(x−3)(x−5)=35

Step 1: Simplify both sides of the equation.

x2−8x+15=35

Step 2: Subtract 35 from both sides.

x2−8x+15−35=35−35

x2−8x−20=0

Step 3: Factor left side of equation.

(x+2)(x−10)=0

Step 4: Set factors equal to 0.

x+2=0 or x−10=0

x=−2 or x=10