Solve y=20*2.04+1/2(-9.8)(2.04)^2

$$y = 20 \times 2.04 + \frac { 1 } { 2 } ( - 9.8 ) ( 2.04 ) ^ { 2 }$$

Solve for y

$$y=20.40816$$

Steps for Solving Linear Equation

Multiply 20 and 2.04 to get 40.8.

$$y=40.8+\frac{1}{2}\left(-9.8\right)\times 2.04^{2}$$

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.

$$y=40.8+\frac{1}{2}\left(-\frac{49}{5}\right)\times 2.04^{2}$$

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

$$y=40.8+\frac{1\left(-49\right)}{2\times 5}\times 2.04^{2}$$

Do the multiplications in the fraction \frac{1\left(-49\right)}{2\times 5}.

$$y=40.8+\frac{-49}{10}\times 2.04^{2}$$

Fraction \frac{-49}{10} can be rewritten as -\frac{49}{10} by extracting the negative sign.

$$y=40.8-\frac{49}{10}\times 2.04^{2}$$

Calculate 2.04 to the power of 2 and get 4.1616.

$$y=40.8-\frac{49}{10}\times 4.1616$$

Convert decimal number 4.1616 to fraction \frac{41616}{10000}. Reduce the fraction \frac{41616}{10000} to lowest terms by extracting and canceling out 16.

$$y=40.8-\frac{49}{10}\times \frac{2601}{625}$$

Multiply -\frac{49}{10} times \frac{2601}{625} by multiplying numerator times numerator and denominator times denominator.

$$y=40.8+\frac{-49\times 2601}{10\times 625}$$

Do the multiplications in the fraction \frac{-49\times 2601}{10\times 625}.

$$y=40.8+\frac{-127449}{6250}$$

Fraction \frac{-127449}{6250} can be rewritten as -\frac{127449}{6250} by extracting the negative sign.

$$y=40.8-\frac{127449}{6250}$$

Convert decimal number 40.8 to fraction \frac{408}{10}. Reduce the fraction \frac{408}{10} to lowest terms by extracting and canceling out 2.

$$y=\frac{204}{5}-\frac{127449}{6250}$$

Least common multiple of 5 and 6250 is 6250. Convert \frac{204}{5} and \frac{127449}{6250} to fractions with denominator 6250.

$$y=\frac{255000}{6250}-\frac{127449}{6250}$$

Since \frac{255000}{6250} and \frac{127449}{6250} have the same denominator, subtract them by subtracting their numerators.

$$y=\frac{255000-127449}{6250}$$

Subtract 127449 from 255000 to get 127551.

$$y=\frac{127551}{6250}$$

Assign y

$$y≔20.40816$$