Solve w^22w-24 - ScanMath

Question

Simplify the expression

2 w^{3} - 24

Evaluate

w^{2} \times 2 w - 24

Solution

More Steps

Evaluate

w^{2} \times 2 w

Multiply the terms with the same base by adding their exponents

w^{2 + 1} \times 2

Add the numbers

w^{3} \times 2

Use the commutative property to reorder the terms

2 w^{3}

2 w^{3} - 24

Show Solution

2 (w^{3} - 12)

Evaluate

w^{2} \times 2 w - 24

Multiply

More Steps

Evaluate

w^{2} \times 2 w

Multiply the terms with the same base by adding their exponents

w^{2 + 1} \times 2

Add the numbers

w^{3} \times 2

Use the commutative property to reorder the terms

2 w^{3}

2 w^{3} - 24

Solution

2 (w^{3} - 12)

Show Solution

w = 312

Alternative Form

w \approx 2.289428

Evaluate

w^{2} \times 2 w - 24

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

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

Multiply

More Steps

Multiply the terms

w^{2} \times 2 w

Multiply the terms with the same base by adding their exponents

w^{2 + 1} \times 2

Add the numbers

w^{3} \times 2

Use the commutative property to reorder the terms

2 w^{3}

2 w^{3} - 24 = 0

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

2 w^{3} = 0 + 24

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

2 w^{3} = 24

Divide both sides

\frac{2 w ^{3}}{2} = \frac{24}{2}

Divide the numbers

w^{3} = \frac{24}{2}

Divide the numbers

More Steps

Evaluate

\frac{24}{2}

Reduce the numbers

\frac{12}{1}

Calculate

12

w^{3} = 12

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

3 w^{3} = 312

Solution

w = 312

Alternative Form

w \approx 2.289428

Show Solution