Solve 2((-39/5) (3/5y)) 7y = -32

Evaluate

2 ((- \frac{39}{5}) \times \frac{3}{5} y) \times 7 y = - 32

Remove the parentheses

2 (- \frac{39}{5}) \times \frac{3}{5} y \times 7 y = - 32

Multiply

More Steps

- \frac{1638}{25} y^{2} = - 32

Divide both sides

\frac{- \frac{1638}{25} y ^{2}}{- \frac{1638}{25}} = \frac{- 32}{- \frac{1638}{25}}

Divide the numbers

y^{2} = \frac{400}{819}

Take the root of both sides of the equation and remember to use both positive and negative roots

y = \pm \frac{400}{819}

Simplify the expression

y = \pm \frac{20 91}{273}

Separate the equation into 2 possible cases

y = \frac{20 91}{273} y = - \frac{20 91}{273}

Solution

y_{1} = - \frac{20 91}{273}, y_{2} = \frac{20 91}{273}

Alternative Form

y_{1} \approx - 0.698857, y_{2} \approx 0.698857

Solve the quadratic equation