Solve 3x^2+5x^2-14x-6divx+3

$$3 { x }^{ 2 } +5 { x }^{ 2 } -14x-6 \div x+3$$

Evaluate

$$8x^{2}-14x+3-\frac{6}{x}$$

Short Solution Steps

Combine 3x^{2} and 5x^{2} to get 8x^{2}.

$$8x^{2}-14x-\frac{6}{x}+3$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 8x^{2}-14x+3 times \frac{x}{x}.

$$\frac{\left(8x^{2}-14x+3\right)x}{x}-\frac{6}{x}$$

Since \frac{\left(8x^{2}-14x+3\right)x}{x} and \frac{6}{x} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\left(8x^{2}-14x+3\right)x-6}{x}$$

Do the multiplications in \left(8x^{2}-14x+3\right)x-6.

$$\frac{8x^{3}-14x^{2}+3x-6}{x}$$

Factor

$$\frac{8x^{3}-14x^{2}+3x-6}{x}$$