Solve (1/6x+1)(-1,5x+9x)/EI

$$\frac { ( 1 / 6 x + 1 ) ( - 1,5 x + 9 x ) } { E I }$$

Evaluate

$$\frac{5x\left(x+6\right)}{4EI}$$

Short Solution Steps

Combine -1,5x and 9x to get 7,5x.

$$\frac{\left(\frac{1}{6}x+1\right)\times 7,5x}{EI}$$

Use the distributive property to multiply \frac{1}{6}x+1 by 7,5.

$$\frac{\left(\frac{1}{6}x\times 7,5+7,5\right)x}{EI}$$

Convert decimal number 7,5 to fraction \frac{75}{10}. Reduce the fraction \frac{75}{10} to lowest terms by extracting and canceling out 5.

$$\frac{\left(\frac{1}{6}x\times \frac{15}{2}+7,5\right)x}{EI}$$

Multiply \frac{1}{6} times \frac{15}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(\frac{1\times 15}{6\times 2}x+7,5\right)x}{EI}$$

Do the multiplications in the fraction \frac{1\times 15}{6\times 2}.

$$\frac{\left(\frac{15}{12}x+7,5\right)x}{EI}$$

Reduce the fraction \frac{15}{12} to lowest terms by extracting and canceling out 3.

$$\frac{\left(\frac{5}{4}x+7,5\right)x}{EI}$$

Use the distributive property to multiply \frac{5}{4}x+7,5 by x.

$$\frac{\frac{5}{4}xx+7,5x}{EI}$$

Multiply x and x to get x^{2}.

$$\frac{\frac{5}{4}x^{2}+7,5x}{EI}$$

Expand

$$\frac{5\left(x^{2}+6x\right)}{4EI}$$

Short Solution Steps

Combine -1,5x and 9x to get 7,5x.

$$\frac{\left(\frac{1}{6}x+1\right)\times 7,5x}{EI}$$

Use the distributive property to multiply \frac{1}{6}x+1 by 7,5.

$$\frac{\left(\frac{1}{6}x\times 7,5+7,5\right)x}{EI}$$

Convert decimal number 7,5 to fraction \frac{75}{10}. Reduce the fraction \frac{75}{10} to lowest terms by extracting and canceling out 5.

$$\frac{\left(\frac{1}{6}x\times \frac{15}{2}+7,5\right)x}{EI}$$

Multiply \frac{1}{6} times \frac{15}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(\frac{1\times 15}{6\times 2}x+7,5\right)x}{EI}$$

Do the multiplications in the fraction \frac{1\times 15}{6\times 2}.

$$\frac{\left(\frac{15}{12}x+7,5\right)x}{EI}$$

Reduce the fraction \frac{15}{12} to lowest terms by extracting and canceling out 3.

$$\frac{\left(\frac{5}{4}x+7,5\right)x}{EI}$$

Use the distributive property to multiply \frac{5}{4}x+7,5 by x.

$$\frac{\frac{5}{4}xx+7,5x}{EI}$$

Multiply x and x to get x^{2}.

$$\frac{\frac{5}{4}x^{2}+7,5x}{EI}$$