Solve 3x-4+x/445x+2/2

$$3 x - 4 + \frac { x } { 4 } \frac { 45 x + 2 } { 2 }$$

Evaluate

$$\frac{45x^{2}}{8}+\frac{13x}{4}-4$$

Short Solution Steps

Multiply \frac{x}{4} times \frac{45x+2}{2} by multiplying numerator times numerator and denominator times denominator.

$$3x-4+\frac{x\left(45x+2\right)}{4\times 2}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 3x-4 times \frac{4\times 2}{4\times 2}.

$$\frac{\left(3x-4\right)\times 4\times 2}{4\times 2}+\frac{x\left(45x+2\right)}{4\times 2}$$

Since \frac{\left(3x-4\right)\times 4\times 2}{4\times 2} and \frac{x\left(45x+2\right)}{4\times 2} have the same denominator, add them by adding their numerators.

$$\frac{\left(3x-4\right)\times 4\times 2+x\left(45x+2\right)}{4\times 2}$$

Do the multiplications in \left(3x-4\right)\times 4\times 2+x\left(45x+2\right).

$$\frac{24x-32+45x^{2}+2x}{4\times 2}$$

Combine like terms in 24x-32+45x^{2}+2x.

$$\frac{26x-32+45x^{2}}{4\times 2}$$

Expand 4\times 2.

$$\frac{26x-32+45x^{2}}{8}$$

Expand

$$\frac{45x^{2}}{8}+\frac{13x}{4}-4$$

Short Solution Steps

Multiply \frac{x}{4} times \frac{45x+2}{2} by multiplying numerator times numerator and denominator times denominator.

$$3x-4+\frac{x\left(45x+2\right)}{4\times 2}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 3x-4 times \frac{4\times 2}{4\times 2}.

$$\frac{\left(3x-4\right)\times 4\times 2}{4\times 2}+\frac{x\left(45x+2\right)}{4\times 2}$$

Since \frac{\left(3x-4\right)\times 4\times 2}{4\times 2} and \frac{x\left(45x+2\right)}{4\times 2} have the same denominator, add them by adding their numerators.

$$\frac{\left(3x-4\right)\times 4\times 2+x\left(45x+2\right)}{4\times 2}$$

Do the multiplications in \left(3x-4\right)\times 4\times 2+x\left(45x+2\right).

$$\frac{24x-32+45x^{2}+2x}{4\times 2}$$

Combine like terms in 24x-32+45x^{2}+2x.

$$\frac{26x-32+45x^{2}}{4\times 2}$$

Expand 4\times 2.

$$\frac{26x-32+45x^{2}}{8}$$