Question

Find the two solutions to the following equation:
x(x + 10) = 0

Answer 1

The correct answer is (0) and (-10)

Explanation:

The standard form of this equation is (x-a)(x-b)=0

so, here given equation is : x(x+10)=0

For solving the equation, equate both the LHS parts equals to RHS i.e. :

x(x+10)=0

x=0 & (x+10)=0 or x=(-10)

Answer 2

If x = 0, then the equation becomes 0(0 + 10) = 0, which is true. Thus, x = 0 is a solution to the equation.

If (x + 10) = 0, then we can rearrange the equation to solve for x: x = -10. Thus, x = -10 is also a solution to the equation.

Therefore, the two solutions to the equation x(x + 10) = 0 are x = 0 and x = -10.