Solve 7*x-9*x^2:(6*x)=

$$7 \cdot x - 9 \cdot x ^ { 2 } : ( 6 \cdot x ) =$$

Evaluate

$$\frac{11x}{2}$$

Short Solution Steps

Cancel out 3x in both numerator and denominator.

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

To add or subtract expressions, expand them to make their denominators the same. Multiply 7x times \frac{2}{2}.

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

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

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

Do the multiplications in 2\times 7x-3x.

$$\frac{14x-3x}{2}$$

Combine like terms in 14x-3x.

$$\frac{11x}{2}$$

Differentiate w.r.t. x

$$\frac{11}{2} = 5\frac{1}{2} = 5.5$$