Solve 11400=10000(1+x*4)

$$11400=10000(1+x \times 4)$$

Solve for x

$$x=\frac{7}{200}=0.035$$

Steps for Solving Linear Equation

Divide both sides by 10000.

$$\frac{11400}{10000}=1+x\times 4$$

Reduce the fraction \frac{11400}{10000} to lowest terms by extracting and canceling out 200.

$$\frac{57}{50}=1+x\times 4$$

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

$$1+x\times 4=\frac{57}{50}$$

Subtract 1 from both sides.

$$x\times 4=\frac{57}{50}-1$$

Convert 1 to fraction \frac{50}{50}.

$$x\times 4=\frac{57}{50}-\frac{50}{50}$$

Since \frac{57}{50} and \frac{50}{50} have the same denominator, subtract them by subtracting their numerators.

$$x\times 4=\frac{57-50}{50}$$

Subtract 50 from 57 to get 7.

$$x\times 4=\frac{7}{50}$$

Divide both sides by 4.

$$x=\frac{\frac{7}{50}}{4}$$

Express \frac{\frac{7}{50}}{4} as a single fraction.

$$x=\frac{7}{50\times 4}$$

Multiply 50 and 4 to get 200.

$$x=\frac{7}{200}$$