Solve 2059=x*20.5-0.5*9.820.5^2

$$2059 = x \times 20.5-0.5 \cdot 9.8 { 20.5 }^{ 2 }$$

Solve for x

$$x = \frac{164729}{820} = 200\frac{729}{820} \approx 200.88902439$$

Steps for Solving Linear Equation

Multiply 0.5 and 9.8 to get 4.9.

$$2059=x\times 20.5-4.9\times 20.5^{2}$$

Calculate 20.5 to the power of 2 and get 420.25.

$$2059=x\times 20.5-4.9\times 420.25$$

Multiply 4.9 and 420.25 to get 2059.225.

$$2059=x\times 20.5-2059.225$$

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

$$x\times 20.5-2059.225=2059$$

Add 2059.225 to both sides.

$$x\times 20.5=2059+2059.225$$

Add 2059 and 2059.225 to get 4118.225.

$$x\times 20.5=4118.225$$

Divide both sides by 20.5.

$$x=\frac{4118.225}{20.5}$$

Expand \frac{4118.225}{20.5} by multiplying both numerator and the denominator by 1000.

$$x=\frac{4118225}{20500}$$

Reduce the fraction \frac{4118225}{20500} to lowest terms by extracting and canceling out 25.

$$x=\frac{164729}{820}$$