Question

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

Answer 1

Answer:

$x=-5$

Step-by-step 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.

$x=-5$