Solve 3x^(2) 3x-18

Question

Simplify the expression

9 x^{3} - 18

Evaluate

3 x^{2} \times 3 x - 18

Solution

More Steps

Evaluate

3 x^{2} \times 3 x

Multiply the terms

9 x^{2} \times x

Multiply the terms with the same base by adding their exponents

9 x^{2 + 1}

Add the numbers

9 x^{3}

9 x^{3} - 18

Show Solution

9 (x^{3} - 2)

Evaluate

3 x^{2} \times 3 x - 18

Multiply

More Steps

Evaluate

3 x^{2} \times 3 x

Multiply the terms

9 x^{2} \times x

Multiply the terms with the same base by adding their exponents

9 x^{2 + 1}

Add the numbers

9 x^{3}

9 x^{3} - 18

Solution

9 (x^{3} - 2)

Show Solution

x = 32

Alternative Form

x \approx 1.259921

Evaluate

3 x^{2} \times 3 x - 18

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

3 x^{2} \times 3 x - 18 = 0

Multiply

More Steps

Multiply the terms

3 x^{2} \times 3 x

Multiply the terms

9 x^{2} \times x

Multiply the terms with the same base by adding their exponents

9 x^{2 + 1}

Add the numbers

9 x^{3}

9 x^{3} - 18 = 0

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

9 x^{3} = 0 + 18

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

9 x^{3} = 18

Divide both sides

\frac{9 x ^{3}}{9} = \frac{18}{9}

Divide the numbers

x^{3} = \frac{18}{9}

Divide the numbers

More Steps

Evaluate

\frac{18}{9}

Reduce the numbers

\frac{2}{1}

Calculate

2

x^{3} = 2

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

3 x^{3} = 32

Solution

x = 32

Alternative Form

x \approx 1.259921

Show Solution