Solve x^2 24x-72 - ScanMath

Question

Simplify the expression

24 x^{3} - 72

Evaluate

x^{2} \times 24 x - 72

Solution

More Steps

Evaluate

x^{2} \times 24 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 24

Add the numbers

x^{3} \times 24

Use the commutative property to reorder the terms

24 x^{3}

24 x^{3} - 72

Show Solution

24 (x^{3} - 3)

Evaluate

x^{2} \times 24 x - 72

Multiply

More Steps

Evaluate

x^{2} \times 24 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 24

Add the numbers

x^{3} \times 24

Use the commutative property to reorder the terms

24 x^{3}

24 x^{3} - 72

Solution

24 (x^{3} - 3)

Show Solution

x = 33

Alternative Form

x \approx 1.44225

Evaluate

x^{2} \times 24 x - 72

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

x^{2} \times 24 x - 72 = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 24 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 24

Add the numbers

x^{3} \times 24

Use the commutative property to reorder the terms

24 x^{3}

24 x^{3} - 72 = 0

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

24 x^{3} = 0 + 72

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

24 x^{3} = 72

Divide both sides

\frac{24 x ^{3}}{24} = \frac{72}{24}

Divide the numbers

x^{3} = \frac{72}{24}

Divide the numbers

More Steps

Evaluate

\frac{72}{24}

Reduce the numbers

\frac{3}{1}

Calculate

3

x^{3} = 3

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

3 x^{3} = 33

Solution

x = 33

Alternative Form

x \approx 1.44225

Show Solution