Solve 5t 7 - 3t^3 = 2t 10

Evaluate

5 t \times 7 - 3 t^{3} = 2 t \times 10

Multiply the terms

35 t - 3 t^{3} = 2 t \times 10

Multiply the terms

35 t - 3 t^{3} = 20 t

Move the expression to the left side

35 t - 3 t^{3} - 20 t = 0

Subtract the terms

More Steps

15 t - 3 t^{3} = 0

Factor the expression

3 t (5 - t^{2}) = 0

Divide both sides

t (5 - t^{2}) = 0

Separate the equation into 2 possible cases

t = 0 5 - t^{2} = 0

Solve the equation

More Steps

t = 0 t = 5 t = - 5

Solution

t_{1} = - 5, t_{2} = 0, t_{3} = 5

Alternative Form

t_{1} \approx - 2.236068, t_{2} = 0, t_{3} \approx 2.236068

Solve the equation