Solve x^2 25x - 37500

Question

Simplify the expression

25 x^{3} - 37500

Evaluate

x^{2} \times 25 x - 37500

Solution

More Steps

Evaluate

x^{2} \times 25 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 25

Add the numbers

x^{3} \times 25

Use the commutative property to reorder the terms

25 x^{3}

25 x^{3} - 37500

Show Solution

25 (x^{3} - 1500)

Evaluate

x^{2} \times 25 x - 37500

Multiply

More Steps

Evaluate

x^{2} \times 25 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 25

Add the numbers

x^{3} \times 25

Use the commutative property to reorder the terms

25 x^{3}

25 x^{3} - 37500

Solution

25 (x^{3} - 1500)

Show Solution

x = 5312

Alternative Form

x \approx 11.447142

Evaluate

x^{2} \times 25 x - 37500

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

x^{2} \times 25 x - 37500 = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 25 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 25

Add the numbers

x^{3} \times 25

Use the commutative property to reorder the terms

25 x^{3}

25 x^{3} - 37500 = 0

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

25 x^{3} = 0 + 37500

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

25 x^{3} = 37500

Divide both sides

\frac{25 x ^{3}}{25} = \frac{37500}{25}

Divide the numbers

x^{3} = \frac{37500}{25}

Divide the numbers

More Steps

Evaluate

\frac{37500}{25}

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