Solve 1/2*(10.8)^2=9.8x

$$\frac { 1 } { 2 } \times ( 10.8 ) ^ { 2 } = 9.8 x$$

Solve for x

$$x = \frac{1458}{245} = 5\frac{233}{245} \approx 5.951020408$$

Steps for Solving Linear Equation

Calculate 10.8 to the power of 2 and get 116.64.

$$\frac{1}{2}\times 116.64=9.8x$$

Convert decimal number 116.64 to fraction \frac{11664}{100}. Reduce the fraction \frac{11664}{100} to lowest terms by extracting and canceling out 4.

$$\frac{1}{2}\times \frac{2916}{25}=9.8x$$

Multiply \frac{1}{2} times \frac{2916}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 2916}{2\times 25}=9.8x$$

Do the multiplications in the fraction \frac{1\times 2916}{2\times 25}.

$$\frac{2916}{50}=9.8x$$

Reduce the fraction \frac{2916}{50} to lowest terms by extracting and canceling out 2.

$$\frac{1458}{25}=9.8x$$

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

$$9.8x=\frac{1458}{25}$$

Divide both sides by 9.8.

$$x=\frac{\frac{1458}{25}}{9.8}$$

Express \frac{\frac{1458}{25}}{9.8} as a single fraction.

$$x=\frac{1458}{25\times 9.8}$$

Multiply 25 and 9.8 to get 245.

$$x=\frac{1458}{245}$$