Solve 3x/2x-10=

$$3 x / 2 x - 10 =$$

Evaluate

$$\frac{3x^{2}}{2}-10$$

Short Solution Steps

Express \frac{3x}{2}x as a single fraction.

$$\frac{3xx}{2}-10$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 10 times \frac{2}{2}.

$$\frac{3xx}{2}-\frac{10\times 2}{2}$$

Since \frac{3xx}{2} and \frac{10\times 2}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3xx-10\times 2}{2}$$

Do the multiplications in 3xx-10\times 2.

$$\frac{3x^{2}-20}{2}$$

Factor

$$\frac{3x^{2}-20}{2}$$

Solution Steps

Factor out \frac{1}{2}. Polynomial 3x^{2}-20 is not factored since it does not have any rational roots.

$$\frac{3xx-20}{2}$$