Solve f(x)=3x^2/5-7

$$f ( x ) = \frac { 3 x ^ { 2 } } { 5 } - 7$$

Evaluate

$$\frac{3x^{2}}{5}-7$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 7 times \frac{5}{5}.

$$\frac{3x^{2}}{5}-\frac{7\times 5}{5}$$

Since \frac{3x^{2}}{5} and \frac{7\times 5}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3x^{2}-7\times 5}{5}$$

Do the multiplications in 3x^{2}-7\times 5.

$$\frac{3x^{2}-35}{5}$$

Factor

$$\frac{3x^{2}-35}{5}$$

Solution Steps

Factor out \frac{1}{5}. Polynomial 3x^{2}-35 is not factored since it does not have any rational roots.

$$\frac{3x^{2}-35}{5}$$