Solve 1/2 a- 1/3 a- 4/6 a^3/8 = 2/3

Evaluate

\frac{1}{2} a - \frac{1}{3} a - \frac{4}{6} \times \frac{a ^{3}}{8} = \frac{2}{3}

Simplify

More Steps

\frac{1}{6} a - \frac{a ^{3}}{12} = \frac{2}{3}

Multiply both sides of the equation by LCD

(\frac{1}{6} a - \frac{a ^{3}}{12}) \times 12 = \frac{2}{3} \times 12

Simplify the equation

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2 a - a^{3} = \frac{2}{3} \times 12

Simplify the equation

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2 a - a^{3} = 8

Move the expression to the left side

2 a - a^{3} - 8 = 0

Calculate

a \approx - 2.330746 a \approx 1.165373 + 1.440237 i a \approx 1.165373 - 1.440237 i

Solution

a_{1} \approx 1.165373 - 1.440237 i, a_{2} \approx 1.165373 + 1.440237 i, a_{3} \approx - 2.330746

Solve the equation(The real numbers system)