Solve x^2 10x - 1000

Question

Simplify the expression

10 x^{3} - 1000

Evaluate

x^{2} \times 10 x - 1000

Solution

More Steps

Evaluate

x^{2} \times 10 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 10

Add the numbers

x^{3} \times 10

Use the commutative property to reorder the terms

10 x^{3}

10 x^{3} - 1000

Show Solution

10 (x^{3} - 100)

Evaluate

x^{2} \times 10 x - 1000

Multiply

More Steps

Evaluate

x^{2} \times 10 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 10

Add the numbers

x^{3} \times 10

Use the commutative property to reorder the terms

10 x^{3}

10 x^{3} - 1000

Solution

10 (x^{3} - 100)

Show Solution

x = 3100

Alternative Form

x \approx 4.641589

Evaluate

x^{2} \times 10 x - 1000

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

x^{2} \times 10 x - 1000 = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 10 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 10

Add the numbers

x^{3} \times 10

Use the commutative property to reorder the terms

10 x^{3}

10 x^{3} - 1000 = 0

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

10 x^{3} = 0 + 1000

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

10 x^{3} = 1000

Divide both sides

\frac{10 x ^{3}}{10} = \frac{1000}{10}

Divide the numbers

x^{3} = \frac{1000}{10}

Divide the numbers

More Steps

Evaluate

\frac{1000}{10}

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