Solve y=-4573.171^2/25000+15(4573.171)/41-22

$$y = - \frac{ { 4573.171 }^{ 2 } }{ 25000 } + \frac{ 15(4573.171) }{ 41 } -22$$

Solve for y

$$y = \frac{834919512195119}{1025000000000} = 814\frac{569512195119}{1025000000000} \approx 814.555621654$$

Steps for Solving Linear Equation

Calculate 4573.171 to the power of 2 and get 20913892.995241.

$$y=-\frac{20913892.995241}{25000}+\frac{15\times 4573.171}{41}-22$$

Expand \frac{20913892.995241}{25000} by multiplying both numerator and the denominator by 1000000.

$$y=-\frac{20913892995241}{25000000000}+\frac{15\times 4573.171}{41}-22$$

Multiply 15 and 4573.171 to get 68597.565.

$$y=-\frac{20913892995241}{25000000000}+\frac{68597.565}{41}-22$$

Expand \frac{68597.565}{41} by multiplying both numerator and the denominator by 1000.

$$y=-\frac{20913892995241}{25000000000}+\frac{68597565}{41000}-22$$

Reduce the fraction \frac{68597565}{41000} to lowest terms by extracting and canceling out 5.

$$y=-\frac{20913892995241}{25000000000}+\frac{13719513}{8200}-22$$

Least common multiple of 25000000000 and 8200 is 1025000000000. Convert -\frac{20913892995241}{25000000000} and \frac{13719513}{8200} to fractions with denominator 1025000000000.

$$y=-\frac{857469612804881}{1025000000000}+\frac{1714939125000000}{1025000000000}-22$$

Since -\frac{857469612804881}{1025000000000} and \frac{1714939125000000}{1025000000000} have the same denominator, add them by adding their numerators.

$$y=\frac{-857469612804881+1714939125000000}{1025000000000}-22$$

Add -857469612804881 and 1714939125000000 to get 857469512195119.

$$y=\frac{857469512195119}{1025000000000}-22$$

Convert 22 to fraction \frac{22550000000000}{1025000000000}.

$$y=\frac{857469512195119}{1025000000000}-\frac{22550000000000}{1025000000000}$$

Since \frac{857469512195119}{1025000000000} and \frac{22550000000000}{1025000000000} have the same denominator, subtract them by subtracting their numerators.

$$y=\frac{857469512195119-22550000000000}{1025000000000}$$

Subtract 22550000000000 from 857469512195119 to get 834919512195119.

$$y=\frac{834919512195119}{1025000000000}$$

Assign y

$$y≔\frac{834919512195119}{1025000000000}$$