Trigonometry Examples

$\frac{4800}{x} \cdot (x (x - 200)) + \frac{4800}{x - 200} \cdot (x (x - 200)) = 2 x (x - 200)$

Step 1

Simplify $\frac{4800}{x} \cdot (x (x - 200)) + \frac{4800}{x - 200} \cdot (x (x - 200))$ .

Tap for more steps...

Step 1.1

Simplify each term.

Tap for more steps...

Step 1.1.1

Cancel the common factor of $x$ .

Tap for more steps...

Step 1.1.1.1

Cancel the common factor.

$\frac{4800}{x} \cdot (x (x - 200)) + \frac{4800}{x - 200} \cdot (x (x - 200)) = 2 x (x - 200)$

Step 1.1.1.2

Rewrite the expression.

$4800 \cdot (x - 200) + \frac{4800}{x - 200} \cdot (x (x - 200)) = 2 x (x - 200)$

Step 1.1.2

Apply the distributive property.

$4800 x + 4800 \cdot - 200 + \frac{4800}{x - 200} \cdot (x (x - 200)) = 2 x (x - 200)$

Step 1.1.3

Multiply $4800$ by $- 200$ .

$4800 x - 960000 + \frac{4800}{x - 200} \cdot (x (x - 200)) = 2 x (x - 200)$

Step 1.1.4

Cancel the common factor of $x - 200$ .

Tap for more steps...

Step 1.1.4.1

Factor $x - 200$ out of $x (x - 200)$ .

$4800 x - 960000 + \frac{4800}{x - 200} \cdot ((x - 200) x) = 2 x (x - 200)$

Step 1.1.4.2

Cancel the common factor.

$4800 x - 960000 + \frac{4800}{x - 200} \cdot ((x - 200) x) = 2 x (x - 200)$

Step 1.1.4.3

Rewrite the expression.

$4800 x - 960000 + 4800 \cdot x = 2 x (x - 200)$

$4800 x - 960000 + 4800 x = 2 x (x - 200)$

Step 1.2

Add $4800 x$ and $4800 x$ .

$9600 x - 960000 = 2 x (x - 200)$

Step 2

Simplify $2 x (x - 200)$ .

Tap for more steps...

Step 2.1

Apply the distributive property.

$9600 x - 960000 = 2 x \cdot x + 2 x \cdot - 200$

Step 2.2

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

Tap for more steps...

Step 2.2.1

Move $x$ .

$9600 x - 960000 = 2 (x \cdot x) + 2 x \cdot - 200$

Step 2.2.2

Multiply $x$ by $x$ .

$9600 x - 960000 = 2 x^{2} + 2 x \cdot - 200$

Step 2.3

Multiply $- 200$ by $2$ .

$9600 x - 960000 = 2 x^{2} - 400 x$

Step 3

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

No solution

Step 4