Question

What is a solution to (x + 6)(x+2) = 60?
A) x= -6
B) X=-4
C) X=4
D) x= 12

Answer 1

The solutions to the equation (x + 6)(x+2) = 60 are x = -12 or x = 4. The given equation is (x + 6)(x+2) = 60. To solve this equation, we can expand it: x^2 + 2x + 6x + 12 = 60 x^2 + 8x + 12 = 60, Now, let's rearrange the equation and set it equal to zero: x^2 + 8x + 12 - 60 = 0, x^2 + 8x - 48 = 0.

Step-by-step explanation:

The given equation is (x + 6)(x+2) = 60. To solve this equation, we can expand it:
x^2 + 2x + 6x + 12 = 60
x^2 + 8x + 12 = 60

Now, let's rearrange the equation and set it equal to zero:
x^2 + 8x + 12 - 60 = 0
x^2 + 8x - 48 = 0

Now we need to factor this quadratic equation:
(x + 12)(x - 4) = 0

Setting each factor equal to zero and solving for x gives us two possible solutions:
x = -12 or x = 4

the equation (x + 6)(x+2) = 60 are x = -12 or x = 4. The given equation is (x + 6)(x+2) = 60. To solve this equation, we can expand it: x^2 + 2x + 6x + 12 = 60 x^2 + 8x + 12 = 60, Now, let's rearrange the equation and set it equal to zero: x^2 + 8x + 12 - 60 = 0, x^2 + 8x - 48 = 0.