Simplify 2x(-2x-3)

$2 x (- 2 x - 3)$

Step 1

Simplify by multiplying through.

Apply the distributive property.

$2 x (- 2 x) + 2 x \cdot - 3$

Simplify the expression.

Rewrite using the commutative property of multiplication.

$2 \cdot - 2 x \cdot x + 2 x \cdot - 3$

Multiply $- 3$ by $2$ .

$2 \cdot - 2 x \cdot x - 6 x$

Step 2

Simplify each term.

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$2 \cdot - 2 (x \cdot x) - 6 x$

Multiply $x$ by $x$ .

$2 \cdot - 2 x^{2} - 6 x$

Multiply $2$ by $- 2$ .

$- 4 x^{2} - 6 x$