Solve 3.75=u(1.5-k)(10*1.5^2)

$$3.75 = u ( 1.5 - k ) ( 10 \times 1.5 ^ { 2 } )$$

Solve for k

$$k=1.5-\frac{1}{6u}$$

$$u\neq 0$$

Steps for Solving Linear Equation

Calculate 1.5 to the power of 2 and get 2.25.

$$3.75=u\left(1.5-k\right)\times 10\times 2.25$$

Multiply 10 and 2.25 to get 22.5.

$$3.75=u\left(1.5-k\right)\times 22.5$$

Use the distributive property to multiply u by 1.5-k.

$$3.75=\left(1.5u-uk\right)\times 22.5$$

Use the distributive property to multiply 1.5u-uk by 22.5.

$$3.75=33.75u-22.5uk$$

Swap sides so that all variable terms are on the left hand side.

$$33.75u-22.5uk=3.75$$

Subtract 33.75u from both sides.

$$-22.5uk=3.75-33.75u$$

The equation is in standard form.

$$\left(-\frac{45u}{2}\right)k=\frac{15-135u}{4}$$

Divide both sides by -22.5u.

$$\frac{\left(-\frac{45u}{2}\right)k}{-\frac{45u}{2}}=\frac{15-135u}{4\left(-\frac{45u}{2}\right)}$$

Dividing by -22.5u undoes the multiplication by -22.5u.

$$k=\frac{15-135u}{4\left(-\frac{45u}{2}\right)}$$

Divide \frac{15-135u}{4} by -22.5u.

$$k=\frac{3}{2}-\frac{1}{6u}$$

Solve for u

$$u=-\frac{15}{4\left(\frac{45k}{2}-33.75\right)}$$

$$k\neq \frac{3}{2}$$

Steps for Solving Linear Equation

Calculate 1.5 to the power of 2 and get 2.25.

$$3.75=u\left(1.5-k\right)\times 10\times 2.25$$

Multiply 10 and 2.25 to get 22.5.

$$3.75=u\left(1.5-k\right)\times 22.5$$

Use the distributive property to multiply u by 1.5-k.

$$3.75=\left(1.5u-uk\right)\times 22.5$$

Use the distributive property to multiply 1.5u-uk by 22.5.

$$3.75=33.75u-22.5uk$$

Swap sides so that all variable terms are on the left hand side.

$$33.75u-22.5uk=3.75$$

Combine all terms containing u.

$$\left(33.75-22.5k\right)u=3.75$$

The equation is in standard form.

$$\left(-\frac{45k}{2}+33.75\right)u=3.75$$

Divide both sides by 33.75-22.5k.

$$\frac{\left(-\frac{45k}{2}+33.75\right)u}{-\frac{45k}{2}+33.75}=\frac{3.75}{-\frac{45k}{2}+33.75}$$

Dividing by 33.75-22.5k undoes the multiplication by 33.75-22.5k.

$$u=\frac{3.75}{-\frac{45k}{2}+33.75}$$

Divide 3.75 by 33.75-22.5k.

$$u=\frac{15}{4\left(-\frac{45k}{2}+33.75\right)}$$