Question

solve.

\\(x + 1)(x + 18) = 10x\\

\\(x = \square\\)
(simplify your answer. type each solution only once. use a comma to separate answers as needed.)

Explanation:

⚡ Using what you learned: factoring and solving quadratic equations

Step 1: Expand the left side

$$ (x + 1)(x + 18) = 10x $$

$$ x^2 + 18x + x + 18 = 10x $$

$$ x^2 + 19x + 18 = 10x $$

Step 2: Move all terms to one side

$$ x^2 + 19x - 10x + 18 = 0 $$

$$ x^2 + 9x + 18 = 0 $$

Step 3: Factor the quadratic equation

$$ (x + 3)(x + 6) = 0 $$

Step 4: Solve for x

$$ x + 3 = 0 \implies x = -3 $$

$$ x + 6 = 0 \implies x = -6 $$

Answer:

-3, -6