Solve 2x^3/25+6x^2/5+4x/15=

$$\frac { 2 x ^ { 3 } } { 25 } + \frac { 6 x ^ { 2 } } { 5 } + \frac { 4 x } { 15 } =$$

Evaluate

$$\frac{2x^{3}}{25}+\frac{6x^{2}}{5}+\frac{4x}{15}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 25 and 5 is 25. Multiply \frac{6x^{2}}{5} times \frac{5}{5}.

$$\frac{2x^{3}}{25}+\frac{5\times 6x^{2}}{25}+\frac{4x}{15}$$

Since \frac{2x^{3}}{25} and \frac{5\times 6x^{2}}{25} have the same denominator, add them by adding their numerators.

$$\frac{2x^{3}+5\times 6x^{2}}{25}+\frac{4x}{15}$$

Do the multiplications in 2x^{3}+5\times 6x^{2}.

$$\frac{2x^{3}+30x^{2}}{25}+\frac{4x}{15}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 25 and 15 is 75. Multiply \frac{2x^{3}+30x^{2}}{25} times \frac{3}{3}. Multiply \frac{4x}{15} times \frac{5}{5}.

$$\frac{3\left(2x^{3}+30x^{2}\right)}{75}+\frac{5\times 4x}{75}$$

Since \frac{3\left(2x^{3}+30x^{2}\right)}{75} and \frac{5\times 4x}{75} have the same denominator, add them by adding their numerators.

$$\frac{3\left(2x^{3}+30x^{2}\right)+5\times 4x}{75}$$

Do the multiplications in 3\left(2x^{3}+30x^{2}\right)+5\times 4x.

$$\frac{6x^{3}+90x^{2}+20x}{75}$$

Factor

$$\frac{6x\left(x-\left(-\frac{\sqrt{1905}}{6}-\frac{15}{2}\right)\right)\left(x-\left(\frac{\sqrt{1905}}{6}-\frac{15}{2}\right)\right)}{75}$$