Pre-Algebra Examples

$2 (9 x + 10) \cdot (2 (x)) = (48 - 2 x)$

Step 1

Simplify $2 (9 x + 10) \cdot (2 (x))$ .

Tap for more steps...

Step 1.1

Simplify by multiplying through.

Tap for more steps...

Step 1.1.1

Apply the distributive property.

$(2 (9 x) + 2 \cdot 10) \cdot (2 (x)) = (48 - 2 x)$

Step 1.1.2

Multiply.

Tap for more steps...

Step 1.1.2.1

Multiply $9$ by $2$ .

$(18 x + 2 \cdot 10) \cdot (2 (x)) = (48 - 2 x)$

Step 1.1.2.2

Multiply $2$ by $10$ .

$(18 x + 20) \cdot (2 (x)) = (48 - 2 x)$

Step 1.1.3

Apply the distributive property.

$18 x (2 x) + 20 (2 x) = (48 - 2 x)$

Step 1.1.4

Simplify the expression.

Tap for more steps...

Step 1.1.4.1

Rewrite using the commutative property of multiplication.

$18 \cdot 2 x \cdot x + 20 (2 x) = (48 - 2 x)$

Step 1.1.4.2

Multiply $2$ by $20$ .

$18 \cdot 2 x \cdot x + 40 x = (48 - 2 x)$

Step 1.2

Simplify each term.

Tap for more steps...

Step 1.2.1

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

Tap for more steps...

Step 1.2.1.1

Move $x$ .

$18 \cdot 2 (x \cdot x) + 40 x = (48 - 2 x)$

Step 1.2.1.2

Multiply $x$ by $x$ .

$18 \cdot 2 x^{2} + 40 x = (48 - 2 x)$

Step 1.2.2

Multiply $18$ by $2$ .

$36 x^{2} + 40 x = (48 - 2 x)$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x \approx - 1.87701455, 0.71034789$

Step 3