Solve y=1/5(12.5)^2-5(12.5)+27

$$y = \frac { 1 } { 5 } ( 12.5 ) ^ { 2 } - 5 ( 12.5 ) + 27$$

Solve for y

$$y=-4.25$$

Steps for Solving Linear Equation

Calculate 12.5 to the power of 2 and get 156.25.

$$y=\frac{1}{5}\times 156.25-5\times 12.5+27$$

Convert decimal number 156.25 to fraction \frac{15625}{100}. Reduce the fraction \frac{15625}{100} to lowest terms by extracting and canceling out 25.

$$y=\frac{1}{5}\times \frac{625}{4}-5\times 12.5+27$$

Multiply \frac{1}{5} times \frac{625}{4} by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{1\times 625}{5\times 4}-5\times 12.5+27$$

Do the multiplications in the fraction \frac{1\times 625}{5\times 4}.

$$y=\frac{625}{20}-5\times 12.5+27$$

Reduce the fraction \frac{625}{20} to lowest terms by extracting and canceling out 5.

$$y=\frac{125}{4}-5\times 12.5+27$$

Multiply 5 and 12.5 to get 62.5.

$$y=\frac{125}{4}-62.5+27$$

Convert decimal number 62.5 to fraction \frac{625}{10}. Reduce the fraction \frac{625}{10} to lowest terms by extracting and canceling out 5.

$$y=\frac{125}{4}-\frac{125}{2}+27$$

Least common multiple of 4 and 2 is 4. Convert \frac{125}{4} and \frac{125}{2} to fractions with denominator 4.

$$y=\frac{125}{4}-\frac{250}{4}+27$$

Since \frac{125}{4} and \frac{250}{4} have the same denominator, subtract them by subtracting their numerators.

$$y=\frac{125-250}{4}+27$$

Subtract 250 from 125 to get -125.

$$y=-\frac{125}{4}+27$$

Convert 27 to fraction \frac{108}{4}.

$$y=-\frac{125}{4}+\frac{108}{4}$$

Since -\frac{125}{4} and \frac{108}{4} have the same denominator, add them by adding their numerators.

$$y=\frac{-125+108}{4}$$

Add -125 and 108 to get -17.

$$y=-\frac{17}{4}$$

Assign y

$$y≔-4.25$$