Solve 48-24x^3x^2

Question

Simplify the expression

48 - 24 x^{5}

Evaluate

48 - 24 x^{3} \times x^{2}

Solution

More Steps

Evaluate

24 x^{3} \times x^{2}

Multiply the terms with the same base by adding their exponents

24 x^{3 + 2}

Add the numbers

24 x^{5}

48 - 24 x^{5}

Show Solution

24 (2 - x^{5})

Evaluate

48 - 24 x^{3} \times x^{2}

Multiply

More Steps

Evaluate

24 x^{3} \times x^{2}

Multiply the terms with the same base by adding their exponents

24 x^{3 + 2}

Add the numbers

24 x^{5}

48 - 24 x^{5}

Solution

24 (2 - x^{5})

Show Solution

x = 52

Alternative Form

x \approx 1.148698

Evaluate

48 - 24 x^{3} \times x^{2}

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

48 - 24 x^{3} \times x^{2} = 0

Multiply

More Steps

Multiply the terms

24 x^{3} \times x^{2}

Multiply the terms with the same base by adding their exponents

24 x^{3 + 2}

Add the numbers

24 x^{5}

48 - 24 x^{5} = 0

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

- 24 x^{5} = 0 - 48

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

- 24 x^{5} = - 48

Change the signs on both sides of the equation

24 x^{5} = 48

Divide both sides

\frac{24 x ^{5}}{24} = \frac{48}{24}

Divide the numbers

x^{5} = \frac{48}{24}

Divide the numbers

More Steps

Evaluate

\frac{48}{24}

Reduce the numbers

\frac{2}{1}

Calculate

2

x^{5} = 2

Take the 5 -th root on both sides of the equation

5 x^{5} = 52

Solution

x = 52

Alternative Form

x \approx 1.148698

Show Solution