Solve t^2 2t - 40

Question

Simplify the expression

2 t^{3} - 40

Evaluate

t^{2} \times 2 t - 40

Solution

More Steps

Evaluate

t^{2} \times 2 t

Multiply the terms with the same base by adding their exponents

t^{2 + 1} \times 2

Add the numbers

t^{3} \times 2

Use the commutative property to reorder the terms

2 t^{3}

2 t^{3} - 40

Show Solution

2 (t^{3} - 20)

Evaluate

t^{2} \times 2 t - 40

Multiply

More Steps

Evaluate

t^{2} \times 2 t

Multiply the terms with the same base by adding their exponents

t^{2 + 1} \times 2

Add the numbers

t^{3} \times 2

Use the commutative property to reorder the terms

2 t^{3}

2 t^{3} - 40

Solution

2 (t^{3} - 20)

Show Solution

t = 320

Alternative Form

t \approx 2.714418

Evaluate

t^{2} \times 2 t - 40

To find the roots of the expression,set the expression equal to 0

t^{2} \times 2 t - 40 = 0

Multiply

More Steps

Multiply the terms

t^{2} \times 2 t

Multiply the terms with the same base by adding their exponents

t^{2 + 1} \times 2

Add the numbers

t^{3} \times 2

Use the commutative property to reorder the terms

2 t^{3}

2 t^{3} - 40 = 0

Move the constant to the right-hand side and change its sign

2 t^{3} = 0 + 40

Removing 0 doesn't change the value,so remove it from the expression

2 t^{3} = 40

Divide both sides

\frac{2 t ^{3}}{2} = \frac{40}{2}

Divide the numbers

t^{3} = \frac{40}{2}

Divide the numbers

More Steps

Evaluate

\frac{40}{2}

Reduce the numbers

\frac{20}{1}

Calculate

20

t^{3} = 20

Take the 3 -th root on both sides of the equation

3 t^{3} = 320

Solution

t = 320

Alternative Form

t \approx 2.714418

Show Solution