Question

What are the roots of the equation x(x + 10) +20 = -5?
B5.5
C. 10,2​

Answer 1

`x=-5`

Explanation:

STEP 1: Simplify each term.

`x^2+10x+20=-5`

STEP 2: Move 5 to the left side of the equation by adding it to both sides.

`x^2+10x+20+5=0`

STEP 3: Add 20 and 5.

`x^2+10x+25=0`

STEP 4: Factor using the perfect square rule.

`(x+5)^2=0`

STEP 5: Set the x+5 equal to 0.

`x+5=0`

STEP 6: Subtract 5 from both sides of the equation.

`x=-5`