Simplify x(3x-4)-5x

$x (3 x - 4) - 5 x$

Step 1

Simplify each term.

Apply the distributive property.

$x (3 x) + x \cdot - 4 - 5 x$

Rewrite using the commutative property of multiplication.

$3 x \cdot x + x \cdot - 4 - 5 x$

Move $- 4$ to the left of $x$ .

$3 x \cdot x - 4 \cdot x - 5 x$

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

Move $x$ .

$3 (x \cdot x) - 4 \cdot x - 5 x$

Multiply $x$ by $x$ .

$3 x^{2} - 4 \cdot x - 5 x$

$3 x^{2} - 4 x - 5 x$

Step 2

Subtract $5 x$ from $- 4 x$ .

$3 x^{2} - 9 x$