Solve 89sqrt{2^29^2}655x-642-5125div541^2=56

$$89 \sqrt{ { 2 }^{ 2 } { 9 }^{ 2 } } 655x-642-5125 \div { 541 }^{ 2 } =56$$

Solve for x

$$x=\frac{22699607}{34123677790}\approx 0.000665216$$

Steps for Solving Linear Equation

Multiply 89 and 655 to get 58295.

$$58295\sqrt{2^{2}\times 9^{2}}x-642-\frac{5125}{541^{2}}=56$$

Calculate 2 to the power of 2 and get 4.

$$58295\sqrt{4\times 9^{2}}x-642-\frac{5125}{541^{2}}=56$$

Calculate 9 to the power of 2 and get 81.

$$58295\sqrt{4\times 81}x-642-\frac{5125}{541^{2}}=56$$

Multiply 4 and 81 to get 324.

$$58295\sqrt{324}x-642-\frac{5125}{541^{2}}=56$$

Calculate the square root of 324 and get 18.

$$58295\times 18x-642-\frac{5125}{541^{2}}=56$$

Multiply 58295 and 18 to get 1049310.

$$1049310x-642-\frac{5125}{541^{2}}=56$$

Calculate 541 to the power of 2 and get 292681.

$$1049310x-642-\frac{5125}{292681}=56$$

Convert -642 to fraction -\frac{187901202}{292681}.

$$1049310x-\frac{187901202}{292681}-\frac{5125}{292681}=56$$

Since -\frac{187901202}{292681} and \frac{5125}{292681} have the same denominator, subtract them by subtracting their numerators.

$$1049310x+\frac{-187901202-5125}{292681}=56$$

Subtract 5125 from -187901202 to get -187906327.

$$1049310x-\frac{187906327}{292681}=56$$

Add \frac{187906327}{292681} to both sides.

$$1049310x=56+\frac{187906327}{292681}$$

Convert 56 to fraction \frac{16390136}{292681}.

$$1049310x=\frac{16390136}{292681}+\frac{187906327}{292681}$$

Since \frac{16390136}{292681} and \frac{187906327}{292681} have the same denominator, add them by adding their numerators.

$$1049310x=\frac{16390136+187906327}{292681}$$

Add 16390136 and 187906327 to get 204296463.

$$1049310x=\frac{204296463}{292681}$$

Divide both sides by 1049310.

$$x=\frac{\frac{204296463}{292681}}{1049310}$$

Express \frac{\frac{204296463}{292681}}{1049310} as a single fraction.

$$x=\frac{204296463}{292681\times 1049310}$$

Multiply 292681 and 1049310 to get 307113100110.

$$x=\frac{204296463}{307113100110}$$

Reduce the fraction \frac{204296463}{307113100110} to lowest terms by extracting and canceling out 9.

$$x=\frac{22699607}{34123677790}$$