Solve 5-3/10z^2=6/5z-1/2z^3

Evaluate

5 - \frac{3}{10} z^{2} = \frac{6}{5} z - \frac{1}{2} z^{3}

Move the expression to the left side

5 - \frac{3}{10} z^{2} - (\frac{6}{5} z - \frac{1}{2} z^{3}) = 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

5 - \frac{3}{10} z^{2} - \frac{6}{5} z + \frac{1}{2} z^{3} = 0

Factor the expression

\frac{1}{10} (50 - 3 z^{2} - 12 z + 5 z^{3}) = 0

Divide both sides

50 - 3 z^{2} - 12 z + 5 z^{3} = 0

Calculate

z \approx - 2.310973 z \approx 1.455487 + 1.486183 i z \approx 1.455487 - 1.486183 i

Solution

z_{1} \approx 1.455487 - 1.486183 i, z_{2} \approx 1.455487 + 1.486183 i, z_{3} \approx - 2.310973

Solve the equation(The real numbers system)

Solve the equation(The complex numbers system)

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