Solve 3t-2/4-2t^3/3=2/3-t

Evaluate

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

Simplify

More Steps

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

Multiply both sides of the equation by LCD

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

Simplify the equation

More Steps

18 t - 3 - 4 t^{3} = (\frac{2}{3} - t) \times 6

Simplify the equation

More Steps

18 t - 3 - 4 t^{3} = 4 - 6 t

Move the expression to the left side

18 t - 3 - 4 t^{3} - (4 - 6 t) = 0

Subtract the terms

More Steps

24 t - 7 - 4 t^{3} = 0

Calculate

t \approx - 2.584035 t \approx 0.295989 t \approx 2.288046

Solution

t_{1} \approx - 2.584035, t_{2} \approx 0.295989, t_{3} \approx 2.288046

Solve the equation