Solve x^(2) 250x-375000

Question

Simplify the expression

250 x^{3} - 375000

Evaluate

x^{2} \times 250 x - 375000

Solution

More Steps

Evaluate

x^{2} \times 250 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 250

Add the numbers

x^{3} \times 250

Use the commutative property to reorder the terms

250 x^{3}

250 x^{3} - 375000

Show Solution

250 (x^{3} - 1500)

Evaluate

x^{2} \times 250 x - 375000

Multiply

More Steps

Evaluate

x^{2} \times 250 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 250

Add the numbers

x^{3} \times 250

Use the commutative property to reorder the terms

250 x^{3}

250 x^{3} - 375000

Solution

250 (x^{3} - 1500)

Show Solution

x = 5312

Alternative Form

x \approx 11.447142

Evaluate

x^{2} \times 250 x - 375000

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

x^{2} \times 250 x - 375000 = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 250 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 250

Add the numbers

x^{3} \times 250

Use the commutative property to reorder the terms

250 x^{3}

250 x^{3} - 375000 = 0

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

250 x^{3} = 0 + 375000

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

250 x^{3} = 375000

Divide both sides

\frac{250 x ^{3}}{250} = \frac{375000}{250}

Divide the numbers

x^{3} = \frac{375000}{250}

Divide the numbers

More Steps

Evaluate

\frac{375000}{250}

Reduce the numbers

\frac{1500}{1}

Calculate

1500

x^{3} = 1500

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

3 x^{3} = 31500

Calculate

x = 31500

Solution

More Steps

Evaluate

31500

Write the expression as a product where the root of one of the factors can be evaluated

3 125 \times 12

Write the number in exponential form with the base of 5

3 5^{3} \times 12

The root of a product is equal to the product of the roots of each factor

3 5^{3} \times 312

Reduce the index of the radical and exponent with 3

5312

x = 5312

Alternative Form

x \approx 11.447142

Show Solution