Solve x^2 20x-2000

Question

Simplify the expression

Solution

20 x^{3} - 2000

Evaluate

x^{2} \times 20 x - 2000

Solution

More Steps

Evaluate

x^{2} \times 20 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 20

Add the numbers

x^{3} \times 20

Use the commutative property to reorder the terms

20 x^{3}

20 x^{3} - 2000

Show Solution

Factor the expression

Factor

20 (x^{3} - 100)

Evaluate

x^{2} \times 20 x - 2000

Multiply

More Steps

Evaluate

x^{2} \times 20 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 20

Add the numbers

x^{3} \times 20

Use the commutative property to reorder the terms

20 x^{3}

20 x^{3} - 2000

Solution

20 (x^{3} - 100)

Show Solution

Find the roots

Find the roots of the algebra expression

x = 3100

Alternative Form

x \approx 4.641589

Evaluate

x^{2} \times 20 x - 2000

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

x^{2} \times 20 x - 2000 = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 20 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 20

Add the numbers

x^{3} \times 20

Use the commutative property to reorder the terms

20 x^{3}

20 x^{3} - 2000 = 0

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

20 x^{3} = 0 + 2000

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

20 x^{3} = 2000

Divide both sides

\frac{20 x ^{3}}{20} = \frac{2000}{20}

Divide the numbers

x^{3} = \frac{2000}{20}

Divide the numbers

More Steps

Evaluate

\frac{2000}{20}

Reduce the numbers

\frac{100}{1}

Calculate

100

x^{3} = 100

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

3 x^{3} = 3100

Solution

x = 3100

Alternative Form

x \approx 4.641589

Show Solution

X^2 20x 2000

Simplify the expression

Solution

Factor the expression

Factor

Find the roots

Find the roots of the algebra expression