Solve (3t-2)/4 - (2t^3)/3 = 2/3 - t/1

Evaluate

\frac{3 t - 2}{4} - \frac{2 t ^{3}}{3} = \frac{2}{3} - \frac{t}{1}

Divide the terms

\frac{3 t - 2}{4} - \frac{2 t ^{3}}{3} = \frac{2}{3} - t

Multiply both sides of the equation by LCD

(\frac{3 t - 2}{4} - \frac{2 t ^{3}}{3}) \times 12 = (\frac{2}{3} - t) \times 12

Simplify the equation

More Steps

9 t - 6 - 8 t^{3} = (\frac{2}{3} - t) \times 12

Simplify the equation

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9 t - 6 - 8 t^{3} = 8 - 12 t

Move the expression to the left side

9 t - 6 - 8 t^{3} - (8 - 12 t) = 0

Subtract the terms

More Steps

21 t - 14 - 8 t^{3} = 0

Calculate

t \approx - 1.885037 t \approx 0.942518 + 0.200057 i t \approx 0.942518 - 0.200057 i

Solution

t_{1} \approx 0.942518 - 0.200057 i, t_{2} \approx 0.942518 + 0.200057 i, t_{3} \approx - 1.885037

Solve the equation(The real numbers system)