Solve x^2 5x-1800

Question

Simplify the expression

5 x^{3} - 1800

Evaluate

x^{2} \times 5 x - 1800

Solution

More Steps

Evaluate

x^{2} \times 5 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 5

Add the numbers

x^{3} \times 5

Use the commutative property to reorder the terms

5 x^{3}

5 x^{3} - 1800

Show Solution

5 (x^{3} - 360)

Evaluate

x^{2} \times 5 x - 1800

Multiply

More Steps

Evaluate

x^{2} \times 5 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 5

Add the numbers

x^{3} \times 5

Use the commutative property to reorder the terms

5 x^{3}

5 x^{3} - 1800

Solution

5 (x^{3} - 360)

Show Solution

x = 2345

Alternative Form

x \approx 7.113787

Evaluate

x^{2} \times 5 x - 1800

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

x^{2} \times 5 x - 1800 = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 5 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 5

Add the numbers

x^{3} \times 5

Use the commutative property to reorder the terms

5 x^{3}

5 x^{3} - 1800 = 0

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

5 x^{3} = 0 + 1800

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

5 x^{3} = 1800

Divide both sides

\frac{5 x ^{3}}{5} = \frac{1800}{5}

Divide the numbers

x^{3} = \frac{1800}{5}

Divide the numbers

More Steps

Evaluate

\frac{1800}{5}

Reduce the numbers

\frac{360}{1}

Calculate

360

x^{3} = 360

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

3 x^{3} = 3360

Calculate

x = 3360

Solution

More Steps

Evaluate

3360

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

3 8 \times 45

Write the number in exponential form with the base of 2

3 2^{3} \times 45

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

3 2^{3} \times 345

Reduce the index of the radical and exponent with 3

2345

x = 2345

Alternative Form

x \approx 7.113787

Show Solution