Solve 4-3/5m=6/5m^2

Evaluate

4 - \frac{3}{5} m = \frac{6}{5} m^{2}

Swap the sides

\frac{6}{5} m^{2} = 4 - \frac{3}{5} m

Move the expression to the left side

\frac{6}{5} m^{2} - 4 + \frac{3}{5} m = 0

Rewrite in standard form

\frac{6}{5} m^{2} + \frac{3}{5} m - 4 = 0

Multiply both sides

5 (\frac{6}{5} m^{2} + \frac{3}{5} m - 4) = 5 \times 0

Calculate

6 m^{2} + 3 m - 20 = 0

Substitute a= 6,b= 3 and c= - 20 into the quadratic formula m = \frac{- b \pm b ^{2} - 4 a c}{2 a}

m = \frac{- 3 \pm 3 ^{2} - 4 \times 6 ( - 20 )}{2 \times 6}

Simplify the expression

m = \frac{- 3 \pm 3 ^{2} - 4 \times 6 ( - 20 )}{12}

Simplify the expression

More Steps

m = \frac{- 3 \pm 489}{12}

Separate the equation into 2 possible cases

m = \frac{- 3 + 489}{12} m = \frac{- 3 - 489}{12}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

m = \frac{- 3 + 489}{12} m = - \frac{3 + 489}{12}

Solution

m_{1} = - \frac{3 + 489}{12}, m_{2} = \frac{- 3 + 489}{12}

Alternative Form

m_{1} \approx - 2.092779, m_{2} \approx 1.592779

Solve the quadratic equation