Solve 2=x*0.075+0.5*9.8*0.075^2

$$2=x \times 0.075+0.5 \times 9.8 \times { 0.075 }^{ 2 }$$

Solve for x

$$x = \frac{31559}{1200} = 26\frac{359}{1200} \approx 26.299166667$$

Steps for Solving Linear Equation

Multiply 0.5 and 9.8 to get 4.9.

$$2=x\times 0.075+4.9\times 0.075^{2}$$

Calculate 0.075 to the power of 2 and get 0.005625.

$$2=x\times 0.075+4.9\times 0.005625$$

Multiply 4.9 and 0.005625 to get 0.0275625.

$$2=x\times 0.075+0.0275625$$

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

$$x\times 0.075+0.0275625=2$$

Subtract 0.0275625 from both sides.

$$x\times 0.075=2-0.0275625$$

Subtract 0.0275625 from 2 to get 1.9724375.

$$x\times 0.075=1.9724375$$

Divide both sides by 0.075.

$$x=\frac{1.9724375}{0.075}$$

Expand \frac{1.9724375}{0.075} by multiplying both numerator and the denominator by 10000000.

$$x=\frac{19724375}{750000}$$

Reduce the fraction \frac{19724375}{750000} to lowest terms by extracting and canceling out 625.

$$x=\frac{31559}{1200}$$