Solve 1/9 (a^3)= 1/5 (2-a)

Evaluate

\frac{1}{9} a^{3} = \frac{1}{5} (2 - a)

Multiply the terms

More Steps

\frac{1}{9} a^{3} = \frac{2}{5} - \frac{1}{5} a

Move the expression to the left side

\frac{1}{9} a^{3} - (\frac{2}{5} - \frac{1}{5} a) = 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

\frac{1}{9} a^{3} - \frac{2}{5} + \frac{1}{5} a = 0

Factor the expression

\frac{1}{45} (5 a^{3} - 18 + 9 a) = 0

Divide both sides

5 a^{3} - 18 + 9 a = 0

Calculate

a \approx 1.151581 a \approx - 0.57579 + 1.671707 i a \approx - 0.57579 - 1.671707 i

Solution

a_{1} \approx - 0.57579 - 1.671707 i, a_{2} \approx - 0.57579 + 1.671707 i, a_{3} \approx 1.151581

Solve the equation(The real numbers system)

Solve the equation(The complex numbers system)

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