Which is a solution to the equation?

(x - 3) (x - 5) = 35

x = - 8

x=-5

x=2

x = 10

Answer: x = 10

Just plug in the different numbers to see which ones equal 35.

I'm going to plug in x = - 8 into the equation

(x - 3) (x - 5) = 35

(-8 - 3) (-8 - 5) = 35 (substitute - 8 for x)

(-11) (-13) = 35

143 = 35

This answer is wrong because 143 does not equal 35

Now let's plug in x = 10

(x - 3) (x - 5) = 35

(10 - 3) (10 - 5) = 35 (substitute 10 for x)

(7) (5) = 35

35 = 35

This solution works because 35 equals 35

(x-3) (x-5) = 35

Multiply the brackets together

x*x-5*x-3*x-3*5

x^2-8x+15=35

Move + 35 to the other side. Sign changes from + 35 to - 35

x^2-8x+15-35=35-35

x^2-8x-20=0

(x-10) (x+2) = 0

x-10=0 x+2=0

Move - 10 to the other side. Sign changes from - 10 to + 10

x-10+10=0+10 x+2-2=0-2

x=10 x=-2

Answer: x=10