Solve -x^26x-36 - ScanMath

Question

Simplify the expression

- 6 x^{3} - 36

Evaluate

- x^{2} \times 6 x - 36

Solution

More Steps

Evaluate

- x^{2} \times 6 x

Multiply the terms with the same base by adding their exponents

- x^{2 + 1} \times 6

Add the numbers

- x^{3} \times 6

Use the commutative property to reorder the terms

- 6 x^{3}

- 6 x^{3} - 36

Show Solution

- 6 (x^{3} + 6)

Evaluate

- x^{2} \times 6 x - 36

Multiply

More Steps

Evaluate

x^{2} \times 6 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 6

Add the numbers

x^{3} \times 6

Use the commutative property to reorder the terms

6 x^{3}

- 6 x^{3} - 36

Solution

- 6 (x^{3} + 6)

Show Solution

x = - 36

Alternative Form

x \approx - 1.817121

Evaluate

- x^{2} \times 6 x - 36

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

- x^{2} \times 6 x - 36 = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 6 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 6

Add the numbers

x^{3} \times 6

Use the commutative property to reorder the terms

6 x^{3}

- 6 x^{3} - 36 = 0

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

- 6 x^{3} = 0 + 36

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

- 6 x^{3} = 36

Change the signs on both sides of the equation

6 x^{3} = - 36

Divide both sides

\frac{6 x ^{3}}{6} = \frac{- 36}{6}

Divide the numbers

x^{3} = \frac{- 36}{6}

Divide the numbers

More Steps

Evaluate

\frac{- 36}{6}

Reduce the numbers

\frac{- 6}{1}

Calculate

- 6

x^{3} = - 6

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

3 x^{3} = 3 - 6

Calculate

x = 3 - 6

Solution

x = - 36

Alternative Form

x \approx - 1.817121

Show Solution