Solve 2x^22x-24 - ScanMath

Question

Simplify the expression

Solution

4 x^{3} - 24

Evaluate

2 x^{2} \times 2 x - 24

Solution

More Steps

Evaluate

2 x^{2} \times 2 x

Multiply the terms

4 x^{2} \times x

Multiply the terms with the same base by adding their exponents

4 x^{2 + 1}

Add the numbers

4 x^{3}

4 x^{3} - 24

Show Solution

Factor the expression

Factor

4 (x^{3} - 6)

Evaluate

2 x^{2} \times 2 x - 24

Multiply

More Steps

Evaluate

2 x^{2} \times 2 x

Multiply the terms

4 x^{2} \times x

Multiply the terms with the same base by adding their exponents

4 x^{2 + 1}

Add the numbers

4 x^{3}

4 x^{3} - 24

Solution

4 (x^{3} - 6)

Show Solution

Find the roots

Find the roots of the algebra expression

x = 36

Alternative Form

x \approx 1.817121

Evaluate

2 x^{2} \times 2 x - 24

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

2 x^{2} \times 2 x - 24 = 0

Multiply

More Steps

Multiply the terms

2 x^{2} \times 2 x

Multiply the terms

4 x^{2} \times x

Multiply the terms with the same base by adding their exponents

4 x^{2 + 1}

Add the numbers

4 x^{3}

4 x^{3} - 24 = 0

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

4 x^{3} = 0 + 24

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

4 x^{3} = 24

Divide both sides

\frac{4 x ^{3}}{4} = \frac{24}{4}

Divide the numbers

x^{3} = \frac{24}{4}

Divide the numbers

More Steps

Evaluate

\frac{24}{4}

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} = 36

Solution

x = 36

Alternative Form

x \approx 1.817121

Show Solution

2x^22x 24

Simplify the expression

Solution

Factor the expression

Factor

Find the roots

Find the roots of the algebra expression