Solve 3xdiv10^3x-6

$$3 x \div 10 ^ { 3 } x - 6$$

Evaluate

$$\frac{3x^{2}}{1000}-6$$

Short Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$\frac{3x}{1000}x-6$$

Express \frac{3x}{1000}x as a single fraction.

$$\frac{3xx}{1000}-6$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 6 times \frac{1000}{1000}.

$$\frac{3xx}{1000}-\frac{6\times 1000}{1000}$$

Since \frac{3xx}{1000} and \frac{6\times 1000}{1000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3xx-6\times 1000}{1000}$$

Do the multiplications in 3xx-6\times 1000.

$$\frac{3x^{2}-6000}{1000}$$

Factor

$$\frac{3\left(x^{2}-2000\right)}{1000}$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$factor(\frac{3x}{1000}x-6)$$

Express \frac{3x}{1000}x as a single fraction.

$$factor(\frac{3xx}{1000}-6)$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 6 times \frac{1000}{1000}.

$$factor(\frac{3xx}{1000}-\frac{6\times 1000}{1000})$$

Since \frac{3xx}{1000} and \frac{6\times 1000}{1000} have the same denominator, subtract them by subtracting their numerators.

$$factor(\frac{3xx-6\times 1000}{1000})$$

Do the multiplications in 3xx-6\times 1000.

$$factor(\frac{3x^{2}-6000}{1000})$$

Consider 3x^{2}-6000. Factor out 3.

$$3\left(x^{2}-2000\right)$$

Rewrite the complete factored expression. Simplify. Polynomial x^{2}-2000 is not factored since it does not have any rational roots.

$$\frac{3\left(x^{2}-2000\right)}{1000}$$