Solve 50=2.4x+1/2*9.8*2.4^2

$$50 = 2.4 x + \frac { 1 } { 2 } \times 9.8 \times 2.4 ^ { 2 }$$

Solve for x

$$x = \frac{1361}{150} = 9\frac{11}{150} \approx 9.073333333$$

Steps for Solving Linear Equation

Convert decimal number 9.8 to fraction \frac{98}{10}. Reduce the fraction \frac{98}{10} to lowest terms by extracting and canceling out 2.

$$50=2.4x+\frac{1}{2}\times \frac{49}{5}\times 2.4^{2}$$

Multiply \frac{1}{2} times \frac{49}{5} by multiplying numerator times numerator and denominator times denominator.

$$50=2.4x+\frac{1\times 49}{2\times 5}\times 2.4^{2}$$

Do the multiplications in the fraction \frac{1\times 49}{2\times 5}.

$$50=2.4x+\frac{49}{10}\times 2.4^{2}$$

Calculate 2.4 to the power of 2 and get 5.76.

$$50=2.4x+\frac{49}{10}\times 5.76$$

Convert decimal number 5.76 to fraction \frac{576}{100}. Reduce the fraction \frac{576}{100} to lowest terms by extracting and canceling out 4.

$$50=2.4x+\frac{49}{10}\times \frac{144}{25}$$

Multiply \frac{49}{10} times \frac{144}{25} by multiplying numerator times numerator and denominator times denominator.

$$50=2.4x+\frac{49\times 144}{10\times 25}$$

Do the multiplications in the fraction \frac{49\times 144}{10\times 25}.

$$50=2.4x+\frac{7056}{250}$$

Reduce the fraction \frac{7056}{250} to lowest terms by extracting and canceling out 2.

$$50=2.4x+\frac{3528}{125}$$

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

$$2.4x+\frac{3528}{125}=50$$

Subtract \frac{3528}{125} from both sides.

$$2.4x=50-\frac{3528}{125}$$

Convert 50 to fraction \frac{6250}{125}.

$$2.4x=\frac{6250}{125}-\frac{3528}{125}$$

Since \frac{6250}{125} and \frac{3528}{125} have the same denominator, subtract them by subtracting their numerators.

$$2.4x=\frac{6250-3528}{125}$$

Subtract 3528 from 6250 to get 2722.

$$2.4x=\frac{2722}{125}$$

Divide both sides by 2.4.

$$x=\frac{\frac{2722}{125}}{2.4}$$

Express \frac{\frac{2722}{125}}{2.4} as a single fraction.

$$x=\frac{2722}{125\times 2.4}$$

Multiply 125 and 2.4 to get 300.

$$x=\frac{2722}{300}$$

Reduce the fraction \frac{2722}{300} to lowest terms by extracting and canceling out 2.

$$x=\frac{1361}{150}$$