Solve x^2 60x - 1200

Question

Simplify the expression

60 x^{3} - 1200

Evaluate

x^{2} \times 60 x - 1200

Solution

More Steps

Evaluate

x^{2} \times 60 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 60

Add the numbers

x^{3} \times 60

Use the commutative property to reorder the terms

60 x^{3}

60 x^{3} - 1200

Show Solution

60 (x^{3} - 20)

Evaluate

x^{2} \times 60 x - 1200

Multiply

More Steps

Evaluate

x^{2} \times 60 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 60

Add the numbers

x^{3} \times 60

Use the commutative property to reorder the terms

60 x^{3}

60 x^{3} - 1200

Solution

60 (x^{3} - 20)

Show Solution

x = 320

Alternative Form

x \approx 2.714418

Evaluate

x^{2} \times 60 x - 1200

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

x^{2} \times 60 x - 1200 = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 60 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 60

Add the numbers

x^{3} \times 60

Use the commutative property to reorder the terms

60 x^{3}

60 x^{3} - 1200 = 0

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

60 x^{3} = 0 + 1200

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

60 x^{3} = 1200

Divide both sides

\frac{60 x ^{3}}{60} = \frac{1200}{60}

Divide the numbers

x^{3} = \frac{1200}{60}

Divide the numbers

More Steps

Evaluate

\frac{1200}{60}

Reduce the numbers

\frac{20}{1}

Calculate

20

x^{3} = 20

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

3 x^{3} = 320

Solution

x = 320

Alternative Form

x \approx 2.714418

Show Solution