Basic Math Examples

$- 5.3 r + 4.9 - (2 r + 0.7) \cdot (3.2 r)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$- 5.3 r + 4.9 + (- (2 r) - 1 \cdot 0.7) \cdot (3.2 r)$

Step 1.2

Multiply $2$ by $- 1$ .

$- 5.3 r + 4.9 + (- 2 r - 1 \cdot 0.7) \cdot (3.2 r)$

Step 1.3

Multiply $- 1$ by $0.7$ .

$- 5.3 r + 4.9 + (- 2 r - 0.7) \cdot (3.2 r)$

Step 1.4

Apply the distributive property.

$- 5.3 r + 4.9 - 2 r (3.2 r) - 0.7 (3.2 r)$

Step 1.5

Rewrite using the commutative property of multiplication.

$- 5.3 r + 4.9 - 2 \cdot 3.2 r \cdot r - 0.7 (3.2 r)$

Step 1.6

Multiply $3.2$ by $- 0.7$ .

$- 5.3 r + 4.9 - 2 \cdot 3.2 r \cdot r - 2.24 r$

Step 1.7

Simplify each term.

Tap for more steps...

Step 1.7.1

Multiply $r$ by $r$ by adding the exponents.

Tap for more steps...

Step 1.7.1.1

Move $r$ .

$- 5.3 r + 4.9 - 2 \cdot 3.2 (r \cdot r) - 2.24 r$

Step 1.7.1.2

Multiply $r$ by $r$ .

$- 5.3 r + 4.9 - 2 \cdot 3.2 r^{2} - 2.24 r$

Step 1.7.2

Multiply $- 2$ by $3.2$ .

$- 5.3 r + 4.9 - 6.4 r^{2} - 2.24 r$

Step 2

Simplify by adding terms.

Tap for more steps...

Step 2.1

Subtract $2.24 r$ from $- 5.3 r$ .

$- 7.54 r + 4.9 - 6.4 r^{2}$

Step 2.2

Simplify the expression.

Tap for more steps...

Step 2.2.1

Move $4.9$ .

$- 7.54 r - 6.4 r^{2} + 4.9$

Step 2.2.2

Reorder $- 7.54 r$ and $- 6.4 r^{2}$ .

$- 6.4 r^{2} - 7.54 r + 4.9$