Solve U=(-4/5)^2-4*(-4/5)

$$U = ( - \frac { 4 } { 5 } ) ^ { 2 } - 4 \times ( - \frac { 4 } { 5 } )$$

Solve for U

$$U = \frac{96}{25} = 3\frac{21}{25} = 3.84$$

Steps for Solving Linear Equation

Calculate -\frac{4}{5} to the power of 2 and get \frac{16}{25}.

$$U=\frac{16}{25}-4\left(-\frac{4}{5}\right)$$

Express 4\left(-\frac{4}{5}\right) as a single fraction.

$$U=\frac{16}{25}-\frac{4\left(-4\right)}{5}$$

Multiply 4 and -4 to get -16.

$$U=\frac{16}{25}-\frac{-16}{5}$$

Fraction \frac{-16}{5} can be rewritten as -\frac{16}{5} by extracting the negative sign.

$$U=\frac{16}{25}-\left(-\frac{16}{5}\right)$$

The opposite of -\frac{16}{5} is \frac{16}{5}.

$$U=\frac{16}{25}+\frac{16}{5}$$

Least common multiple of 25 and 5 is 25. Convert \frac{16}{25} and \frac{16}{5} to fractions with denominator 25.

$$U=\frac{16}{25}+\frac{80}{25}$$

Since \frac{16}{25} and \frac{80}{25} have the same denominator, add them by adding their numerators.

$$U=\frac{16+80}{25}$$

Add 16 and 80 to get 96.

$$U=\frac{96}{25}$$

Assign U

$$U≔\frac{96}{25}$$