Solve x^2 180x-14400

Question

Simplify the expression

180 x^{3} - 14400

Evaluate

x^{2} \times 180 x - 14400

Solution

More Steps

Evaluate

x^{2} \times 180 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 180

Add the numbers

x^{3} \times 180

Use the commutative property to reorder the terms

180 x^{3}

180 x^{3} - 14400

Show Solution

180 (x^{3} - 80)

Evaluate

x^{2} \times 180 x - 14400

Multiply

More Steps

Evaluate

x^{2} \times 180 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 180

Add the numbers

x^{3} \times 180

Use the commutative property to reorder the terms

180 x^{3}

180 x^{3} - 14400

Solution

180 (x^{3} - 80)

Show Solution

x = 2310

Alternative Form

x \approx 4.308869

Evaluate

x^{2} \times 180 x - 14400

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

x^{2} \times 180 x - 14400 = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 180 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 180

Add the numbers

x^{3} \times 180

Use the commutative property to reorder the terms

180 x^{3}

180 x^{3} - 14400 = 0

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

180 x^{3} = 0 + 14400

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

180 x^{3} = 14400

Divide both sides

\frac{180 x ^{3}}{180} = \frac{14400}{180}

Divide the numbers

x^{3} = \frac{14400}{180}

Divide the numbers

More Steps

Evaluate

\frac{14400}{180}

Reduce the numbers

\frac{80}{1}

Calculate

80

x^{3} = 80

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

3 x^{3} = 380

Calculate

x = 380

Solution

More Steps

Evaluate

380

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

3 8 \times 10

Write the number in exponential form with the base of 2

3 2^{3} \times 10

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

3 2^{3} \times 310

Reduce the index of the radical and exponent with 3

2310

x = 2310

Alternative Form

x \approx 4.308869

Show Solution