Solve 2 2/3m^2/3m - m

Question

Simplify the expression

\frac{8 m ^{3} - 9 m}{9}

Show Solution

m_{1} = - \frac{3 2}{4}, m_{2} = 0, m_{3} = \frac{3 2}{4}

Alternative Form

m_{1} \approx - 1.06066, m_{2} = 0, m_{3} \approx 1.06066

Evaluate

2 \frac{2}{3} \times \frac{m ^{2}}{3} m - m

To find the roots of the expression,set the expression equal to 0

2 \frac{2}{3} \times \frac{m ^{2}}{3} m - m = 0

Covert the mixed number to an improper fraction

More Steps

\frac{8}{3} \times \frac{m ^{2}}{3} m - m = 0

Multiply the terms

More Steps

\frac{8 m ^{3}}{9} - m = 0

Subtract the terms

More Steps

\frac{8 m ^{3} - 9 m}{9} = 0

Simplify

8 m^{3} - 9 m = 0

Factor the expression

m (8 m^{2} - 9) = 0

Separate the equation into 2 possible cases

m = 0 8 m^{2} - 9 = 0

Solve the equation

More Steps

m = 0 m = \frac{3 2}{4} m = - \frac{3 2}{4}

Solution

m_{1} = - \frac{3 2}{4}, m_{2} = 0, m_{3} = \frac{3 2}{4}

Alternative Form

m_{1} \approx - 1.06066, m_{2} = 0, m_{3} \approx 1.06066

Show Solution