Solve y=9(2/5)^2-3(2/5)-4

$$y = 9 ( \frac { 2 } { 5 } ) ^ { 2 } - 3 ( \frac { 2 } { 5 } ) - 4$$

Solve for y

$$y = -\frac{94}{25} = -3\frac{19}{25} = -3.76$$

Steps for Solving Linear Equation

Calculate \frac{2}{5} to the power of 2 and get \frac{4}{25}.

$$y=9\times \frac{4}{25}-3\times \frac{2}{5}-4$$

Express 9\times \frac{4}{25} as a single fraction.

$$y=\frac{9\times 4}{25}-3\times \frac{2}{5}-4$$

Multiply 9 and 4 to get 36.

$$y=\frac{36}{25}-3\times \frac{2}{5}-4$$

Express 3\times \frac{2}{5} as a single fraction.

$$y=\frac{36}{25}-\frac{3\times 2}{5}-4$$

Multiply 3 and 2 to get 6.

$$y=\frac{36}{25}-\frac{6}{5}-4$$

Least common multiple of 25 and 5 is 25. Convert \frac{36}{25} and \frac{6}{5} to fractions with denominator 25.

$$y=\frac{36}{25}-\frac{30}{25}-4$$

Since \frac{36}{25} and \frac{30}{25} have the same denominator, subtract them by subtracting their numerators.

$$y=\frac{36-30}{25}-4$$

Subtract 30 from 36 to get 6.

$$y=\frac{6}{25}-4$$

Convert 4 to fraction \frac{100}{25}.

$$y=\frac{6}{25}-\frac{100}{25}$$

Since \frac{6}{25} and \frac{100}{25} have the same denominator, subtract them by subtracting their numerators.

$$y=\frac{6-100}{25}$$

Subtract 100 from 6 to get -94.

$$y=-\frac{94}{25}$$

Assign y

$$y≔-\frac{94}{25}$$