Solve x^23x-27 - ScanMath

Question

Simplify the expression

3 x^{3} - 27

Evaluate

x^{2} \times 3 x - 27

Solution

More Steps

Evaluate

x^{2} \times 3 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 3

Add the numbers

x^{3} \times 3

Use the commutative property to reorder the terms

3 x^{3}

3 x^{3} - 27

Show Solution

3 (x^{3} - 9)

Evaluate

x^{2} \times 3 x - 27

Multiply

More Steps

Evaluate

x^{2} \times 3 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 3

Add the numbers

x^{3} \times 3

Use the commutative property to reorder the terms

3 x^{3}

3 x^{3} - 27

Solution

3 (x^{3} - 9)

Show Solution

x = 39

Alternative Form

x \approx 2.080084

Evaluate

x^{2} \times 3 x - 27

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

x^{2} \times 3 x - 27 = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 3 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 3

Add the numbers

x^{3} \times 3

Use the commutative property to reorder the terms

3 x^{3}

3 x^{3} - 27 = 0

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

3 x^{3} = 0 + 27

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

3 x^{3} = 27

Divide both sides

\frac{3 x ^{3}}{3} = \frac{27}{3}

Divide the numbers

x^{3} = \frac{27}{3}

Divide the numbers

More Steps

Evaluate

\frac{27}{3}

Reduce the numbers

\frac{9}{1}

Calculate

9

x^{3} = 9

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

3 x^{3} = 39

Solution

x = 39

Alternative Form

x \approx 2.080084

Show Solution